Sagaki Daisuke 佐垣大輔

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SAGAKI Daisuke 佐垣大輔

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Researcher Number	40344866
Other IDs
Affiliation (Current)	2025: 筑波大学, 数理物質系, 教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 筑波大学, 数理物質系, 教授 2011 – 2018: 筑波大学, 数理物質系, 准教授 2011: 筑波大学, 数理物質系数学域, 准教授 2008 – 2010: University of Tsukuba, 大学院・数理物質科学研究科, 講師 2007: University of Tsukuba, Graduate School of Pure and Applied Sciences, Associate Professor 2005 – 2006: 筑波大学, 大学院数理物質科学研究科, 助手 2004 – 2005: University of Tsukuba, Graduate School of Pure and Applied Sciences, Research Associate, 大学院・数理物質科学研究科, 助手
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator 量子アフィン代数 / 結晶基底 / パス模型 / 量子alcove模型 / Macdonald 多項式 / Lakshmibai-Seshadri パス / エクストリーマル・ウェイト加群 / クリスタル / Kirillov-Reshetikhin 加群 / Mirkovic-Vilonen多面体 … More / Kirillov-Reshetikhin加群 / 量子Bruhatグラフ / 旗多様体 / 量子Grothendieck多項式 / 半無限Schubert多様体 / 半無限旗多様体 / 量子K群 / 量子 Grothendieck 多項式 / Demazure加群 / 量子LSパス / 半無限LSパス / Lakshmiba-Seshadri パス / van der Kallen 加群 / Monk 型の公式 / Chevalley 型の公式 / 標準単項式理論 / Kirilov-Reshetikhin 加群 / 有限次元既約表現 / quantum Bruhat graph / Lakshmibai-Seshadriパス / 半無限 Bruhat 順序 / 半無限 Bruhat グラフ / 量子 Bruhat グラフ / アフィン・リー代数 / Mirkovic-Vilonen 多面体 / 表現論 / 代数一般 / アフィン量子群 … More Except Principal Investigator path model / 結晶基底 / Lakshmibai-Seshadri path / レベル・ゼロ表現 / アフィン量子群 / テンソル積 / extremal weight module / quantum affine algebra / extremalウエイト加群 / Lakshmibai-Seshadriパス / Demazureクリスタル / 量子群 / Mirkovic-Vilonen多面体 / ムーンシャイン予想 / モジュラー関数 / 擬トレイス関数 / モンスター単純群 / 頂点作用素代数 / Demazure 加群 / 量子 Bruhat グラフ / semi-infinite Bruhat 順序 / ｑｕａｎｔｕｍ　Ｗｅｙｌ　ｍｏｄｕｌｅ / Ｌａｋｓｈｍｉｂａｉ－Ｓｅｓｈａｄｒｉ　ｐａｔｈ / ｅｘｔｒｅｍａｌ　ｗｅｉｇｈｔ　ｍｏｄｕｌｅ / ｑｕａｎｔｕｍ　ａｆｆｉｎｅ　ａｌｇｅｂｒａ / ｃｒｙｓｔａｌ　ｂａｓｉｓ / Ｍａｃｄｏｎａｌｄｐｏｌｙｎｏｍｉａｌ / pQLS パス / Macdonald 多項式 / 代数学 / 半無限旗多様体 / Lakshmibai-Seshadri パス / マクドナルド多項式 / Demazure 部分加群 / extremal ウエイト加群 / アフィン量子群の表現論 / 表現論 / Kostka polynomial / energy function / crystal basis / level-zero representation / Lakshmiba-Seshadri path / レベル・ゼロ基本表現 / degree関数 / エネルギー / Demazure加群 / Anderson-Mirkovic予想 / tropical Plucker関係式 / 既約最高ウェイト加群 / エネルギー関数 / Kostka多項式 / パス模型 / extremalウエイト加郡 / レべル・ゼロ表現 / fundamental representation / level zero / standard module / crystal base / 基本表現 / レベル・ゼロ / standard加群 / Pseudo-trace functions / Trace funditons / Modular invariance / Modular forms / C2-condition / Monster simple group / The moonshine module / Vertex Operator Algebra / 格子型頂点作用素代数 / ジーゲル型保型形式 / ヒルベルト型保型形式 / 保型形式 / トレイス関数 / モジュラー不変 / ジョルダン代数 / C2条件 / ムーンシャイン加群 / 有限次元半単純り一環 / 既約最高ウエイト表現 / 既約最高ウエイト加群 / Minkowski和 / アフィン・グラスマン多様体 / Demazure crystal / 代数的サイクル / アフィン・リー環 / Berenstein-Zelevinsky datum / Mirkovic-Vilonenサイクル / 量子同変コホモロジー / quantum Bruhat graph / 量子群の表現論 / リー環論 / 対称代数 / 有限群 / ツー代数 / 完全可約 / 射影加群 / コホモロジー群 / C2有限条件 / 非有理型頂点作用素代数 Less

旗多様体の量子K群における構造定数の組合せ論的な記述Principal Investigator
- Principal Investigator
  
  佐垣大輔
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Study of Demazure modules in EW modules in terms of semi-infinite LS paths and its geometric applicationPrincipal Investigator
- Principal Investigator
  
  Sagaki Daisuke
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Crystal bases for Kirillov-Reshetikhin modules and their combinatorial realizationPrincipal Investigator
- Principal Investigator
  
  Sagaki Daisuke
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Geometric realization of the crystal bases of standard modules over quantum affine algebras
- Principal Investigator
  
  Naito Satoshi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
Construction of path models for modules of critical level over affine Lie algebrasPrincipal Investigator
- Principal Investigator
  
  SAGAKI Daisuke
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Realization of the crystal bases of level-zero representations of quantum affine algebras as algebraic cycles
- Principal Investigator
  
  NAITO Satoshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
  University of Tsukuba
Study on 1-dimensional sums and special polynomials in mathematical physics in terms of path modelsPrincipal Investigator
- Principal Investigator
  
  SAGAKI Daisuke
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras
- Principal Investigator
  
  NAITO Satoshi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
非有理型を含む頂点作用素代数における環論・モジュラー形式論・群論の新展開
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
アフィン量子群の有限次元表現,及び,その結晶基底に関する研究Principal Investigator
- Principal Investigator
  
  佐垣大輔
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Study on the path models for extremal weight modules over a quantum affine algebra
- Principal Investigator
  
  NAITO Satoshi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Toward to a generalization of modular invariance of vertex operator algebras into Hilbert type and Siegel type.
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba

[Journal Article] Quantum K-theory Chevalley formulas in the parabolic case2024
- Author(s)
  Kouno Takafumi、Lenart Cristian、Naito Satoshi、Sagaki Daisuke
- Journal Title
  
  Journal of Algebra
  
  Volume: 645 Pages: 1-53
- DOI
  10.1016/j.jalgebra.2024.01.026
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KJ2908, KAKENHI-PROJECT-21K03198, KAKENHI-PROJECT-19K03415
[Journal Article] Inverse K-Chevalley formulas for semi-infinite flag manifolds, II: Arbitrary weights in ADE type2023
- Author(s)
  Lenart Cristian、Naito Satoshi、Orr Daniel、Sagaki Daisuke
- Journal Title
  
  Advances in Mathematics
  
  Volume: 423 Pages: 109037-109037
- DOI
  10.1016/j.aim.2023.109037
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03198, KAKENHI-PROJECT-19K03415
[Journal Article] Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum K-group of partial flag manifolds2022
- Author(s)
  T. Kouno, S. Naito, and D. Sagaki
- Journal Title
  
  Journal of Combinatorial Theory, Series A
  
  Volume: 192 Pages: 105670-105670
- DOI
  10.1016/j.jcta.2022.105670
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03415, KAKENHI-PROJECT-21K03198, KAKENHI-PROJECT-22KJ2908
[Journal Article] Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds2021
- Author(s)
  S. Naito, D. Orr, D. Sagaki
- Journal Title
  
  Advances in Mathematics
  
  Volume: 387 Pages: 107828-107828
- DOI
  10.1016/j.aim.2021.107828
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03415, KAKENHI-PROJECT-21K03198
[Journal Article] Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type2021
- Author(s)
  Takafumi Kouno, Satoshi Naito, Daniel Orr, Daisuke Sagaki
- Journal Title
  
  Forum of Mathematics, Sigma
  
  Volume: 9
- DOI
  10.1017/fms.2021.45
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20J12058, KAKENHI-PROJECT-19K03415, KAKENHI-PROJECT-21K03198
[Journal Article] Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at $t=\infty$2020
- Author(s)
  S.Naito and D.Sagaki
- Journal Title
  
  Transformation Groups
  
  Volume: ---
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803
[Journal Article] Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 22020
- Author(s)
  D.Sagaki and D.Yu
- Journal Title
  
  Communications in Algebra
  
  Volume: 49 Issue: 2 Pages: 690-705
- DOI
  10.1080/00927872.2020.1817467
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03415
[Journal Article] Equivariant K-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula2020
- Author(s)
  Kato Syu, Naito Satoshi, Sagaki Daisuke
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: 169 Issue: 13
- DOI
  10.1215/00127094-2020-0015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03415, KAKENHI-PROJECT-16H03920
[Journal Article] Equivariant $K$-theory of semi-infinite flag manifolds and Pieri-Chevalley formula2020
- Author(s)
  S.Kato, S.Naito, and D.Sagaki
- Journal Title
  
  Duke Mathematical Journal
  
  Volume: ---
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803
[Journal Article] Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths2020
- Author(s)
  S. Naito, F. Nomoto, and D. Sagaki
- Journal Title
  
  Journal of Combinatorial Theory. Series A
  
  Volume: 169 Pages: 105122-105122
- DOI
  10.1016/j.jcta.2019.105122
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-19K03415, KAKENHI-PROJECT-16H03920
[Journal Article] Representation-theoretic interpretation of Cherednik-Orr's recursion formula for the specialization of nonsymmetric Macdonald polynomials at t = infinity2018
- Author(s)
  S. Naito, F. Nomoto, and D. Sagaki
- Journal Title
  
  Transform. Groups
  
  Volume: in press Issue: 1 Pages: 155-191
- DOI
  10.1007/s00031-017-9467-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03920, KAKENHI-PROJECT-15K04803
[Journal Article] Specialization of nonsymmetric Macdonald polynomials at t=∞ and Demazure submodules of level-zero extremal weight modules2017
- Author(s)
  Satoshi Naito, Fumihiko Nomoto and Daisuke Sagaki
- Journal Title
  
  Transactions of the AMS
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803
[Journal Article] A uniform model for Kirillov-Reshetikhin crystals III. Nonsymmetric Macdonald polynomials at t = 0 and Demazure characters2017
- Author(s)
  C.Lenart, S.Naito, D.Sagaki, A.Schilling, and M.Shimozono
- Journal Title
  
  Transformation Groups
  
  Volume: 印刷中 Issue: 4 Pages: 1041-1079
- DOI
  10.1007/s00031-017-9421-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-16H03920
[Journal Article] A uniform model for Kirillov-Reshetikhin crystals II. Alcove model, path model, and $P=X$2017
- Author(s)
  C.Lenart, S.Naito, D.Sagaki, A. Schilling, and M. Shimozono
- Journal Title
  
  Int. Math. Res. Not. IMRN
  
  Volume: 2017 Pages: 4259-4319
- DOI
  10.1093/imrn/rnw129
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-16H03920
[Journal Article] Specialization of nonsymmetric Macdonald polynomials at t = \infty and Demazure submodules of level-zero extremal weight modules2017
- Author(s)
  S. Naito, F. Nomoto, and D. Sagaki
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: in press Issue: 4 Pages: 2739-2783
- DOI
  10.1090/tran/7114
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03920, KAKENHI-PROJECT-15K04803
[Journal Article] Demazure submodules of level-zero extremal weight modules2016
- Author(s)
  Satoshi Naito and Daisuke Sagaki
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 印刷中 Issue: 3-4 Pages: 937-978
- DOI
  10.1007/s00209-016-1628-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-24540010, KAKENHI-PROJECT-16H03920
[Journal Article] Application of a Z3-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices2016
- Author(s)
  Daisuke Sagaki and Hiroki Shimakura
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 368 Issue: 3 Pages: 1621-1646
- DOI
  10.1090/tran/6382
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803
[Journal Article] Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras2016
- Author(s)
  Motohiro Ishii, Satoshi Naito and Daisuke Sagaki
- Journal Title
  
  Advances in Mathematics
  
  Volume: 290 Pages: 967-1009
- DOI
  10.1016/j.aim.2015.11.037
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-26887002, KAKENHI-PROJECT-24540010, KAKENHI-PROJECT-16H03920
[Journal Article] Application of a $\mathbb{Z}_{3}$-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices2015
- Author(s)
  Daisuke Sagaki, Hiroki Shimakura
- Journal Title
  
  to appear in Trans. Amer. Math. Soc.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] Automorphisms of Niemeier lattices for Miyamoto's $\mathbb{Z}_3$-orbifold construction2015
- Author(s)
  Motohiro Ishii, Daisuke Sagaki, Hiroki Shimakura
- Journal Title
  
  to appear in Mathematische Zeitschrift
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] Quantum Lakshmibai-Seshadri paths and root operators2014
- Author(s)
  Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, Mark Shimozono
- Journal Title
  
  Advanced Studies in Pure Mathematics (to appear)
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] Posets, tensor products and Schur positivity2014
- Author(s)
  Vyjayanthi Chari, Ghislain Fourier, Daisuke Sagaki
- Journal Title
  
  Algebra Number Theory
  
  Volume: 8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph2014
- Author(s)
  Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, Mark Shimozono
- Journal Title
  
  International Mathematics Research Notices (to appear)
  
  Volume: 印刷中 Pages: 1848-1901
- DOI
  10.1093/imrn/rnt263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003, KAKENHI-PROJECT-24540010
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, part III2013
- Author(s)
  S. Naito, D. Sagaki, and Y. Saito
- Journal Title
  
  Proof of the connectedness, Springer Proceedings in Mathematics and Statistics
  
  Volume: Vol.40 Pages: 361-402
- DOI
  10.1007/978-1-4471-4863-0_15
- ISBN
  9781447148623, 9781447148630
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-23740003, KAKENHI-PROJECT-24540008, KAKENHI-PROJECT-24540010
[Journal Article] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of type B_{infinity}, C_{infinity}, and D_{infinity}2012
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Trans. Amer. Math. Soc
  
  Volume: 364
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540010
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, part I2012
- Author(s)
  S. Naito, D. Sagaki, and Y. Saito
- Journal Title
  
  Construction of the affine analogs, Contemporary Mathematics
  
  Volume: Vol.565 Pages: 143-184
- URL
  http://dx.doi.org/10.1090/conm/565/11180.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, Part I : Construction of the affine analogs2012
- Author(s)
  S.Naito, D.Sagaki, Y. Saito
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 565 Pages: 143-184
- DOI
  10.1090/conm/565/11180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-24540008, KAKENHI-PROJECT-24540010
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism II2012
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  case of affine Lie algebras, Progr. Math
  
  Volume: Vol.284 Pages: 225-255
- DOI
  10.1007/978-0-8176-4697-4_9
- ISBN
  9780817646967, 9780817646974
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes2012
- Author(s)
  S. Kato, S. Naito, and D. Sagaki
- Journal Title
  
  Transformation Groups
  
  Volume: 17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, part II: Explicit description2012
- Author(s)
  S. Naito, D. Sagaki, and Y. Saito
- Journal Title
  
  Contemporary Mathematics (Algebraic groups and quantum groups)
  
  Volume: 565
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] TensorproductsandMinkowskisumsofMirkovic-Vilonenpolytopes2012
- Author(s)
  S.Kato,S.Naito,andD.Sagaki
- Journal Title
  
  Transform.Groups
  
  Volume: Vol.17,no.1 Issue: 1 Pages: 195-207
- DOI
  10.1007/s00031-011-9159-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-23740014, KAKENHI-PROJECT-24540010
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, part I: Construction of the affine analogs2012
- Author(s)
  S. Naito, D. Sagaki, and Y. Saito
- Journal Title
  
  Contemporary Mathematics (Algebraic groups and quantum groups)
  
  Volume: 565
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, Part II : Explicit description2012
- Author(s)
  S.Naito, D. Sagaki, Y. Saito
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 565 Pages: 185-216
- DOI
  10.1090/conm/565/11179
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-24540010
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, part II2012
- Author(s)
  S. Naito, D. Sagaki, Y. Saito
- Journal Title
  
  Explicit description, Contemporary Mathematics
  
  Volume: Vol.565 Pages: 185-216
- URL
  http://dx.doi.org/10.1090/conm/565/11179.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types B∞, C∞, and D∞2012
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 364
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740003
[Journal Article] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types B_{infinity}, C_{infinity}, and D_{infinity}2012
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: Vol. 64, no.12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2011
- Author(s)
  S.Kato, S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math.
  
  Volume: VOL.226 Pages: 2587-2617
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2011
- Author(s)
  Syu Kato, Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Advances in Mathematics
  
  Volume: 226 Pages: 2587-2617
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2011
- Author(s)
  S.Kato, S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. Vol.226
  
  Pages: 2587-2617
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Polytopalestimateof Mirkovic-Vilonen polytopes lying in a Demazure crystal2011
- Author(s)
  S. Kato, S. Naito, and D. Sagaki
- Journal Title
  
  Adv. Math
  
  Volume: Vol.226,no.3 Pages: 2587-2617
- URL
  http://dx.doi.org/10.1016/j.aim.2010.09.010.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2011
- Author(s)
  Syu Kato, Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Advances in Mathematics Volume 226
  
  Pages: 2587-2617
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] 量子アファイン展開環上のextremalウェイト加群の結晶基底とLittelmannのパス模型2010
- Author(s)
  内藤聡・佐垣大輔
- Journal Title
  
  雑誌「数学」 62巻
  
  Pages: 57-84
- NAID
  130004558900
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] 量子アファイン展開環上のextremalウエイト加群の結晶基底とLittelmannのパス模型2010
- Author(s)
  内藤聡・佐垣大輔
- Journal Title
  
  日本数学会雑誌'数学'
  
  Volume: 第62巻,第1号 Pages: 57-84
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism II : case of affine Lie algebras2010
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Progress in Mathematics Volume 284
  
  Pages: 225-255
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Simplicity of a vertex operator algebra whose Griess algebra is the Jordan algebra of symmetric matrices2010
- Author(s)
  新堀秀和・佐垣大輔
- Journal Title
  
  Communications in Algebras 38
  
  Pages: 848-875
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] 量子アファイン展開環上のextremalウェイト加群の結晶基底とLittelmannのパス模型2010
- Author(s)
  内藤聡・佐垣大輔
- Journal Title
  
  数学
  
  Volume: 62 Pages: 57-84
- NAID
  130004558900
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism II : case of affine Lie algebras2010
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Progress in Mathematics
  
  Volume: 284 Pages: 225-255
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Simplicity of a vertex operator algebra whose Griess algebra is the Jordan algebra of symmetric matrices2010
- Author(s)
  Hidekazu Niibori, Daisuke Sagaki
- Journal Title
  
  Communications in Algebra Volume 38
  
  Pages: 848-875
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Adv. Math
  
  Volume: Vol.221,no.6 Pages: 1804-1842
- URL
  http://dx.doi.org/10.1016/j.aim.2009.03.008.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. VOL.221
  
  Pages: 1804-1842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. Vol.221
  
  Pages: 1804-1842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Advances in Mathematics Volume 221
  
  Pages: 1804-1842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Simplicity of a vertex operator algebra whose Griess algebra is the Jordan algebra of symmetric matrices2009
- Author(s)
  新堀秀和・佐垣大輔
- Journal Title
  
  Communications in Algebras (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  内藤聡・佐垣大輔
- Journal Title
  
  Advances in Mathematics 221
  
  Pages: 1804-1842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  内藤聡・佐垣大輔
- Journal Title
  
  Advances in Mathematics (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Lalshmibai-Seshadri paths of level-zero shape and one-dimensional sums associated to level-zero fundamdental representations2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Compos. Math
  
  Volume: Vol.144, no.6 Pages: 1525-1556
- URL
  http://dx.doi.org/10.1112/S0010437X08003606.
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Proc. Lond. Math. Soc. (3)
  
  Volume: Vol.96, no.3 Issue: 3 Pages: 582-622
- DOI
  10.1112/plms/pdm034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  J. Algebra 320
  
  Pages: 387-416
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  J. Algebra to appear(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  J. Algebra
  
  Volume: Vol. 320, no.1 Pages: 387-416
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Lakshmibai-Seshadri paths of level-zero shape and one-dimensional sums associated to level-zero fundamental representations2008
- Author(s)
  内藤聡・佐垣大輔
- Journal Title
  
  Compositio Mathematica 144
  
  Pages: 1525-1556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Lakshmibai-Seshadri paths of level-zero shape and one-dimensional sums associated to level-zero fundamental representations2008
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Compositio Mathematica Volume144
  
  Pages: 1525-1556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types BandC2008
- Author(s)
  内藤, 聡・佐垣, 大輔
- Journal Title
  
  Journal of Algebra To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero weight shape2008
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Proceeding of London Mathematical Society Volume 96
  
  Pages: 582-622
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Lakshmibai-Seshadri paths of level-zero shape and one-dimensional sums associated to level-zero fundamental representations2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Compos. Math. 144
  
  Pages: 1525-1556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape2008
- Author(s)
  S., Naito・D., Sagaki
- Journal Title
  
  Proc. London Math. Soc.(3) 96
  
  Pages: 582-622
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C2008
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Journal of Algebra Volume 320
  
  Pages: 387-416
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Proc. Lond. Math. Soc. (3) 96
  
  Pages: 582-622
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540006
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero weight shape2008
- Author(s)
  内藤, 聡・佐垣, 大輔
- Journal Title
  
  Proceeding of London Mathematical Society To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Proc. London Math. Soc.(3) 96-3
  
  Pages: 582-622
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Lakshmibai-Seshadri paths of level-zero shape and one-dimensional sums associated to level-zero fundamental representations2008
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Compositio Mathematica Volume 144
  
  Pages: 1525-1556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism. II: case of affine Lie algebras2008
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Proceedings of the 6th International Conference by Graduate School of Mathematics, Nagoya University to appear(印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra. II2006
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Adv. Math. 200-1
  
  Pages: 102-124
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras2006
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  Communications in Mathematical Physics 263・3
  
  Pages: 749-787
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra. II2006
- Author(s)
  S., Naito・D., Sagaki
- Journal Title
  
  Adv. Math 200
  
  Pages: 102-124
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras2006
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Comm. Math. Phys. 263・3
  
  Pages: 749-787
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Pathmodel for a level-zero extremal weight module over a quantum affine algebra. II2006
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv. Math. 200・1
  
  Pages: 102-124
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Path Model for a level-zero extremal weight module over a quantum affine algebra II2006
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  Advances in Mathematics 200・1
  
  Pages: 102-124
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra II2006
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. 200・1
  
  Pages: 102-124
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] An approach to the branching rule from sl_{2n}(C) to sp_{2n}(C) via Littelmann' s path model2005
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  J.Algebra 286・1
  
  Pages: 187-212
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism2005
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Algebra.Represent.Theory 8・5
  
  Pages: 689-707
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra2005
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Int. Math. Res. Not. 2005-14
  
  Pages: 815-840
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra2005
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  International Mathematics Research Notices 2005・14
  
  Pages: 815-840
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra2005
- Author(s)
  S., Naito・D., Sagaki
- Journal Title
  
  Int. Mth. Res. Not. 2005
  
  Pages: 815-840
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] An approach to the branching rule from sl_{2n}(C)to_sp{2n}(C)via Littelmann's path model2005
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  Journal of Algebra 286・1
  
  Pages: 187-212
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism2005
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  Algebras and Representation Theory 8・5
  
  Pages: 689-707
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra2005
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Int.Math.Res.Not. 2005・14
  
  Pages: 815-840
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Crystal bases and diagram automorphisms2004
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Stud.Pure Math. 40
  
  Pages: 321-341
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Crystal bases and diagram automorphisms2004
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  Advanced Studies in Pure Mathematics 40
  
  Pages: 321-341
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] A rationalization of the crystal Z^{infty} and a diagram automorphism2004
- Author(s)
  内藤聡, 佐垣大輔
- Journal Title
  
  Journal of Pure and Applied Algebra 189・1-3
  
  Pages: 279-295
- Data Source
  KAKENHI-PROJECT-16740004
[Journal Article] A rationalization of the crystal $Z^{infty}$ and a diagram automorphism2004
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  J.Pure Appl.Algebra 189・1-3
  
  Pages: 279-295
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra2003
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Int.Math.Res.Not. 2003・32
  
  Pages: 1731-1754
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Three kinds of extremal weight vectors fixed by a diagram automorphism2003
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  J.Algebra 268・1
  
  Pages: 343-365
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Standard paths and standard monomials fixed by a diagram automorphism2002
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  J.Algebra 251・1
  
  Pages: 461-474
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Algebra.Represent.Theory (to appear)
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra II
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Int.Math.Res.Not. (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Comm.Math.Phys. (in press)
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra II
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Int.Math.Res.Not. (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes
- Author(s)
  Syu Kato, Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Transformation Groups に掲載予定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of type B∞, C∞, and D∞
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  Transactions of the American Mathematical Society に掲載予定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740004
[Journal Article] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape
- Author(s)
  S. Naito and D. Sagaki
- Journal Title
  
  Proc. London Math. Soc. (3) (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540008
[Journal Article] Crystal of Lakshmibai-Seshadri paths associated to an integral weight of level zero for an affine Lie algebra
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Int.Math.Res.Not. (in press)
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] An approach to the branching rule from $sl_{2n}(C)$ to $sp_{2n}(C)$ via Littelmann' s path model
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  J.Algebra (in press)
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Algebr.Represent.Theory (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Path model for a level-zero extremal weight module over a quantum affine algebra II
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. (in press)
- Data Source
  KAKENHI-PROJECT-14540006
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism
- Author(s)
  S.Naito, D.Sagaki
- Journal Title
  
  Algebra.Represent.Theory (in press)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540006
[Presentation] Chevalley type formula for level-zero Demazure modules in terms of the quantum alcove model2020
- Author(s)
  Daisuke Sagaki
- Organizer
  Discussion Meeting on Representation Theory 2020
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03415
[Presentation] Chevalley type and Monk type formulas for level-zero Demazure modules2019
- Author(s)
  Daisuke Sagaki
- Organizer
  Crystals and Their Generalizations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04803
[Presentation] Combinatorial standard monomial theory for semi-infinite Lakshmibai-Seshadri paths2018
- Author(s)
  Daisuke Sagaki
- Organizer
  Conference on Algebraic Representation Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04803
[Presentation] Specializations of nonsymmetric Macdonald polynomials and Demazure type submodules of extremal weight modules2017
- Author(s)
  Daisuke Sagaki
- Organizer
  Algebraic and Combinatorial Aspects in Integrable Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04803
[Presentation] Introduction to extremal weight modules for quantum affine algebras2017
- Author(s)
  Daisuke Sagaki
- Organizer
  Spring School on Representation Theory
- Place of Presentation
  東京大学 (東京都目黒区)
- Year and Date
  2017-03-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04803
[Presentation] Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras2017
- Author(s)
  Daisuke Sagaki
- Organizer
  Lectures in Seoul National University
- Invited
- Data Source
  KAKENHI-PROJECT-15K04803
[Presentation] Demazure subcrystals of crystal bases of level-zero extremal weight modules over quantum affine algebras2014
- Author(s)
  佐垣大輔
- Organizer
  第17回代数群と量子群の表現論（RAQ2014）
- Place of Presentation
  富山勤労総合福祉センター呉羽ハイツ
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] Maximal dimension of tensor products and Schur positivity for classical Lie algebras2012
- Author(s)
  Daisuke Sagaki
- Organizer
  Algebraic and Combinatorial approaches to representation theory
- Place of Presentation
  University of California Riverside (アメリカ)
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] 量子 Bruhat グラフを用いたレベル・ゼロ LS パスの表示2012
- Author(s)
  佐垣大輔
- Organizer
  組合せ論的表現論とその周辺
- Place of Presentation
  京都大学数理解析研究所（京都）
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] Description of level-zero Lakshmibai-Seshadri paths in terms of the quantum Bruhat graph2012
- Author(s)
  Daisuke Sagaki
- Organizer
  Shanghai Workshop on Representation Theory -- Special Session at Osaka
- Place of Presentation
  大阪大学（大阪）
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] 量子Bruhatグラフを用いたレベル・ゼロLSパスの表示,組合せ論的表現論とその周辺2012
- Author(s)
  D.Sagaki
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-10-11
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Tensor products and Minkowski sums of Mirkovic-Vilonen polytopes2011
- Author(s)
  Daisuke Sagaki
- Organizer
  Trimester Programs "On the Interaction of Representation Theory with Geometry and Combinatorics"
- Place of Presentation
  Hausdorff Institute for Mathematics (ドイツ・ボン大学).
- Year and Date
  2011-02-28
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of type B∞, C∞, and D∞2010
- Author(s)
  Daisuke Sagaki
- Organizer
  国際研究集会「Representation Theory of Algebraic Groups and Quantum Groups 2010」
- Place of Presentation
  名古屋大学
- Year and Date
  2010-08-06
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of type B_∞, C_∞, and, D_∞2010
- Author(s)
  Daisuke Sagaki
- Organizer
  Representation Theory of Algebraic Groups and Quantum Groups 2010
- Place of Presentation
  名古屋大学
- Year and Date
  2010-08-06
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types B_{infinity}, C_{infinity}, and D_{infinity}2010
- Author(s)
  D. Sagaki
- Organizer
  第13回代数群と量子群の表現論研究集会
- Place of Presentation
  愛知県江南市
- Year and Date
  2010-06-05
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of type B_∞, C_∞, and, D_∞2010
- Author(s)
  佐垣大輔
- Organizer
  第13回「代数群と量子群の表現論」
- Place of Presentation
  すいとぴあ江南(愛知県江南市)
- Year and Date
  2010-06-10
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types B_{∞}, C_{∞}, D_{∞}2010
- Author(s)
  D.Sagaki, S.Naito
- Organizer
  The 10^<th> International Conference"Representation Theory of Algebraic Groups and Quantum Groups 2010"
- Place of Presentation
  名古屋大学
- Year and Date
  2010-08-06
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Tensor products and polytopal estimates of Mirkovic-Vilonen polytopes2010
- Author(s)
  内藤聡、加藤周、佐垣大輔
- Organizer
  The 5th International Conference on Representati on Theory
- Place of Presentation
  西安(中華人民共和国)(招待講演)
- Year and Date
  2010-08-09
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types B_{infinity}, C_{infinity}, and D_{infinity}2010
- Author(s)
  D. Sagaki
- Organizer
  第10回名古屋国際数学コンファレンス "Representation Theory of Algebraic Groups and Quantum Groups '10
- Place of Presentation
  名古屋大学
- Year and Date
  2010-08-06
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of type B∞, C∞, and D∞2010
- Author(s)
  佐垣大輔
- Organizer
  第13回「代数群と量子群の表現論」
- Place of Presentation
  すいとぴあ江南(愛知県江南市)
- Year and Date
  2010-06-10
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Tensor products and polytopal estimates of Mirkovic-Vilonen polytopes2010
- Author(s)
  S.Naito, S.Kato, D.Sagaki
- Organizer
  The 5^<th> International Conference on Representation Theorey
- Place of Presentation
  西安(中華人民共和国)
- Year and Date
  2010-08-09
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  D. Sagaki
- Organizer
  International Workshop on "Combinatoaial and Geometric Approach to Representation Theory"
- Place of Presentation
  Seoul NationalUniversity (Republic of Korea)
- Year and Date
  2009-09-21
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] 量子アファィン環のレベル・ゼロ基本表現とそのテンソル積のパス模型2009
- Author(s)
  佐垣大輔
- Organizer
  2009日本数学会秋季総合分科会特別講演
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] On tensor products of Mirkovic-Vilonen polytopes in type A2009
- Author(s)
  斉藤義久, 佐垣大輔 ,内藤聡
- Organizer
  研究集会「表現論と組合せ論」
- Place of Presentation
  北海道大学
- Year and Date
  2009-08-26
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  Daisuke Sagaki
- Organizer
  国際研究集会「International workshop on combinatorial and geometric approach to representation theory」
- Place of Presentation
  Seoul National University (韓国)
- Year and Date
  2009-09-21
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] 量子アファイン環のレベル・ゼロ基本表現とそのテンソル積のパス模型2009
- Author(s)
  佐垣大輔
- Organizer
  2009年度日本数学会秋季総合分科会特別講演
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2009
- Author(s)
  佐垣大輔
- Organizer
  International workshop on combinatorial and geometric approach to representation theory
- Place of Presentation
  Seoul National University(韓国)
- Year and Date
  2009-09-21
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] 量子アファイン環のレベル・ゼロ基本表現とそのテンソル積のパス模型2009
- Author(s)
  佐垣大輔
- Organizer
  2009年度日本数学会秋季総合分科会特別講演
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2009
- Author(s)
  S.Naito, S.Kato, D.Sagaki
- Organizer
  International Workshop on"Combinatorial and Geometric Approach to Representation Theory"
- Place of Presentation
  ソウル国立大学(大韓民国)
- Year and Date
  2009-09-21
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] 量子アファイン環のレベル・ゼロ日本表現とそのテンソル積のパス模型2009
- Author(s)
  D.Sagaki
- Organizer
  日本数学会代数学分科会特別講演
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2009
- Author(s)
  内藤聡、加藤周、佐垣大輔
- Organizer
  International Workshop on "Combinatorial and Geometric Approach to Representation Theory"
- Place of Presentation
  ソウル国立大学(大韓民国)
- Year and Date
  2009-09-21
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Berenstein-Zelevinsky datum for the affine Lie algebra of type A_{\ell}^{(1)}2008
- Author(s)
  佐垣大輔(内藤聡氏との連名)
- Organizer
  研究集会「Crystals and Tropical Combinatoric
- Place of Presentation
  関西セミナーハウス(京都)
- Year and Date
  2008-08-30
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Berenstein-Zelevinsky datum for the affine Lie algebra of type Al^<(1)>2008
- Author(s)
  Daisuke Sagaki, Satoshi Naito
- Organizer
  国際研究集会「Crystals and Tropical Combinatorics」
- Place of Presentation
  関西セミナーハウス(京都)
- Year and Date
  2008-08-30
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] Berenstein-Zelevinsky datum for the affine Lie algebra of type A_{\ell}^{(1)}2008
- Author(s)
  Daisuke Sagaki, Satoshi Naito
- Organizer
  国際研究集会「Crystals and Tropical Combinatorics」
- Place of Presentation
  関西セミナーハウス(京都)
- Year and Date
  2008-08-30
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] On crystals of Lakshmibai-Seshadri paths and extremal weight modules over quantum affine algebras2008
- Author(s)
  内藤聡,佐垣大輔
- Organizer
  2008年度表現論シンポジウム
- Place of Presentation
  ウェルハートピア熱海
- Year and Date
  2008-11-12
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Berenstein-Zelevinsky datum for the affine Lie algebra of type A_{l}^{(1)}2008
- Author(s)
  D. Sagaki
- Organizer
  International Workshop on "Crystals and Tropical Combinatorics
- Place of Presentation
  京都市
- Year and Date
  2008-08-30
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Mirkovic-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal2008
- Author(s)
  内藤聡, 佐垣大輔
- Organizer
  研究集会「組合せ論的表現論の拡がり」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-07
- Data Source
  KAKENHI-PROJECT-19740004
[Presentation] On the crystal of Lakshmibai-Seshadri paths of a level-zero weight shape2007
- Author(s)
  内藤聡・佐垣大輔
- Organizer
  第52回代数学シンポジウム
- Place of Presentation
  神戸大学
- Year and Date
  2007-08-06
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540008
[Presentation] On the crystal of Lakshmibai-Seshadri paths of a level-zero weight shape2007
- Author(s)
  S. Naito and D. Sagaki
- Organizer
  The 52nd Symposium on Algebra
- Place of Presentation
  Kobe University
- Year and Date
  2007-08-06
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540008
[Presentation] Demazure subcrystals of crystal bases of level-zero extremal weight modules over quantum affine algebras
- Author(s)
  佐垣大輔
- Organizer
  第17回代数群と量子群の表現論 (RAQ2014)
- Place of Presentation
  呉羽ハイツ（富山県）
- Year and Date
  2014-06-01 – 2014-06-04
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras
- Author(s)
  佐垣大輔
- Organizer
  ICM 2014 Satellite Conference on Representation Theory and Related Topics
- Place of Presentation
  EXCO, Daegu, South Korea
- Year and Date
  2014-08-06 – 2014-08-09
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] Symmetric Macdonald polynomials and quantum Lakshmibai-Seshadri paths
- Author(s)
  佐垣大輔
- Organizer
  Tsukuba Workshop on Infinite-dimensional Lie Theory and Related Topics
- Place of Presentation
  筑波大学（茨城県）
- Year and Date
  2014-10-20 – 2014-10-23
- Invited
- Data Source
  KAKENHI-PROJECT-23740003
[Presentation] Introduction to LS paths I & II
- Author(s)
  佐垣大輔
- Organizer
  第3回シューベルトカルキュラスとその周辺
- Place of Presentation
  岡山理科大学（岡山県）
- Year and Date
  2014-08-26 – 2014-08-29
- Invited
- Data Source
  KAKENHI-PROJECT-23740003

1. NAITO Satoshi (60252160)

# of Collaborated Projects: 5 results

# of Collaborated Products: 64 results
2. MIYAMOTO Masahiko (30125356)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. MORITA Jun (20166416)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. TAKEYAMA Yoshihiro (60375392)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. SAITO Yoshihisa (20294522)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. KIMURA Tatsuo (30022726)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. TAKEUCHI Kiyoshi (70281160)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KITAZUME Masaaki (60204898)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TAKEUCHI Mitsuhiro (00015950)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. MASATO Okado (70221843)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KATO Syu (40456760)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 藤田尚昌 (60143161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 田邊顕一朗 (10334038)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 星野光男 (90181495)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. Lenart Cristian

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. Schilling Anne

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. Shimozono Mark

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Sagaki Daisuke 佐垣 大輔

SAGAKI Daisuke 佐垣 大輔

Research Projects

Research Products

Co-Researchers

旗多様体の量子K群における構造定数の組合せ論的な記述Principal Investigator

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Study of Demazure modules in EW modules in terms of semi-infinite LS paths and its geometric applicationPrincipal Investigator

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Crystal bases for Kirillov-Reshetikhin modules and their combinatorial realizationPrincipal Investigator

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Geometric realization of the crystal bases of standard modules over quantum affine algebras

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Construction of path models for modules of critical level over affine Lie algebrasPrincipal Investigator

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Realization of the crystal bases of level-zero representations of quantum affine algebras as algebraic cycles

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Study on 1-dimensional sums and special polynomials in mathematical physics in terms of path modelsPrincipal Investigator

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Study on the fusion products and crystalbases of level-zero representations of quantum affine algebras

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非有理型を含む頂点作用素代数における環論・モジュラー形式論・群論の新展開

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アフィン量子群の有限次元表現,及び,その結晶基底に関する研究Principal Investigator

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Study on the path models for extremal weight modules over a quantum affine algebra

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Toward to a generalization of modular invariance of vertex operator algebras into Hilbert type and Siegel type.

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[Journal Article] Quantum K-theory Chevalley formulas in the parabolic case2024

Author(s)

Journal Title

Sagaki Daisuke 佐垣大輔

SAGAKI Daisuke 佐垣大輔