Naito Satoshi 内藤聡

… Alternative Names

NAITO Satoshi 内藤聡

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Researcher Number	60252160
Other IDs
External Links
Affiliation (Current)	2025: 東京科学大学, 理学院, 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 東京工業大学, 理学院, 教授 2012 – 2016: 東京工業大学, 理工学研究科, 教授 2011: 東京工業大学, 大学院・理工学研究科, 教授 2007 – 2010: University of Tsukuba, Graduate School of Pure andApplied Sciences, Associate Professor 2009: 筑波大学, 数理物質科学研究科, 准教授 … More 2006: 筑波大学, 大学院数理物質科学, 助教授 2006: 筑波大学, 大学院数理物質科学研究科, 助教授 2004 – 2006: University of Tsukuba, Graduate School of Pure and Applied Sciences, Associate professor, 大学院・数理物質科学研究科, 助教授 1995 – 2004: 筑波大学, 数学系, 助教授 1994: 静岡大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra / Global analysis / Basic analysis / 解析学
Keywords	Principal Investigator レベル・ゼロ表現 / 表現論 / generalized Kac-Moody algebra / path model / 結晶基底 / Lakshmibai-Seshadri path / Kac-Moodyリー環 / 代数学 / 半無限旗多様体 / アフィン量子群の表現論 … More / アフィン量子群 / 旗多様体の量子 K-群 / アフィン・リー環の表現論 / extremal weight module / quantum affine algebra / extremalウエイト加群 / Lakshmibai-Seshadri パス / Lakshmibai-Seshadriパス / Demazureクリスタル / 量子群 / Mirkovic-Vilonen多面体 / 量子群の表現論 / アフィン・リー環 / シューベルト・カリキュラス / 旗多様体の量子 K-環 / 半無限シューベルト多様体 / 臨界レベルの表現 / 非対称Macdonald 多項式 / アフィン・リー環の臨界レベル表現 / アフィン量子群のレベル・ゼロ表現 / トーラス同変 K-群 / Chevalley 公式 / シューベルト多様体 / 同変量子 K-群 / 同変 K-群 / 量子 K-群 / Kostka polynomial / energy function / crystal basis / level-zero representation / Lakshmiba-Seshadri path / テンソル積 / 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 / 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 / マクドナルド多項式 / Demazure 部分加群 / extremal ウエイト加群 / 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 / Berenstein-Zelevinsky datum / Mirkovic-Vilonenサイクル / 量子同変コホモロジー / quantum Bruhat graph / リー環論 / Demazure module / twining character / Virasoro algebra / 指標公式 / 分母公式 / Kac-Moody リー環 / 完全可約性 / ホモロジー群 / Hecke環 / Kazhdan-Lusztig多項式 / 指標 … More Except Principal Investigator 量子群 / 頂点作用素代数 / 結晶基底 / ムーンシャイン予想 / モンスター単純群 / ホップ代数 / quantum group / braided category / Monster simple group / 組紐カテゴリー / D-加群 / 表現論 / ムーンシャイン加群 / テンソル積 / ジョルダン代数 / 自己同型群 / ヴィラソロ代数 / モジュラー不変 / ラティス / 不連続群 / inversion formula / range characterization / symmetric space / integral geometry / Radon transform / 不変微分作用素 / パフィアン / グラスマン多様体 / アファイングラスマン多様体 / 平滑化作用 / パフィアン型微分作用素 / 反転公式 / 像の特徴付け / 対称空間 / 積分幾何 / ラドン変換 / D-modules / crystal bases / representation theory / 組み合わせ / 可解模型 / 幾何学的表現論 / Pseudo-trace functions / Trace funditons / Modular invariance / Modular forms / C2-condition / 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 / モジュラー関数 / 保型形式 / 擬トレイス関数 / トレイス関数 / C2条件 / cylinder matrix / biFrobenius algebra / modular category / braid / Hopf algebra / quantum matrix / ガウス分解 / 量子ガロア群 / cylinder代数 / 準結晶 / コサイクル変形 / braidedホップ代数 / Kac-Moody群 / Kaplansky予想 / matched pair / ヘッケ代数 / コホモロジー / ボゾン化 / Homfly多項式 / cylinder行列 / 双フロベニウス代数 / モジュラー圏 / 結び目 / 量子行列 / Relative invaliant / Fourier transform / weakly spherical homogeneous spaces / Prehomogeneous vector spaces / 相対不変式 / フーリエ変換 / 弱球等質空間 / 概均質ベクトル空間 / Complex structure / Noncommutative geometry / Automorphic functions / Discontiumous group / Spectral analysis of a self-adjoint operator / Hyperbolic geometry / Unitary repreoentation / Quantum group / 有限群 / モジュライ空間 / 複素構造 / 非可換幾何学 / 保型関数論 / 自己共役作用素のスペクトル解析 / 双曲幾何学 / ユニタリー表現論 / Moonshine conjecture / Vertex operator algebra / Automorphism groups / Virasoro algebra / Meromorphic / Lattices / Ising models / ムーンシャン予想 / メロモルフィック / イジング模型 / 代数群 / 代数解析 / 群の表現論 / 結晶基 / 余加群代数 / 森田理論 / 環論 / bialgebroid / bialgebroid, Picard-Vessiot理論 / FRT構成 / ガロア理論 / 旗多様体 / 偏屈層 / アフィンヘッケ環 / 変形量子化 / 量子確率論 / ウェーブレット / フーリエ解析 / リー群の表現 / 無限次元調和解析 / フレイム頂点作用素代数 / 宮本自己同型 / 位数公式 / マッカイの考察 / 原田予想 / semi-rigidity / 非消滅元 / 既約指標 / 表現 / semi-ridigity / 散在型有限単純群 / テーター関数 / 離散群 / ヨルゲンセン数 / タイヒミコラ-空間 / クライン群 / ショットキイ空間 / ショットキイ群 Less

半無限旗多様体の同変 K-群とアフィン量子群のレベル・ゼロ表現の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo Institute of Technology
Relation between representations at the critical level and those of level zero for affine Lie algebras and semi-infinite flag manifoldsPrincipal Investigator
- Principal Investigator
  
  Naito Satoshi
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
Geometric realization of the crystal bases of standard modules over quantum affine algebrasPrincipal Investigator
- 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
Geometric study of quantum groups and associative algebras
- Principal Investigator
  
  Saito Yoshihisa
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Realization of the crystal bases of level-zero representations of quantum affine algebras as algebraic cyclesPrincipal Investigator
- 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
Geometric study of quantum groups and its application to representation theory of algebras
- Principal Investigator
  
  SAITO Yoshihisa
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Research on representation theory of algebraic groups and quantum groups via algebraic analysis
- Principal Investigator
  
  TANISAKI Toshiyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka City University
Algebraic Analysis of Infinite Symmetry
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Hopf algebras and their applications to quantum groups
- Principal Investigator
  
  TAKEUCHI Mitsuhiro
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Detection of hidden symmetries in sporadic simple groups and vertex operator algebras
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
多様体上の群の作用と無限次元調和解析
- Principal Investigator
  
  西山享
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study on the fusion products and crystalbases of level-zero representations of quantum affine algebrasPrincipal Investigator
- 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
Study on the path models for extremal weight modules over a quantum affine algebraPrincipal Investigator
- 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
Algebraic Analysis of Representation Theory
- Principal Investigator
  
  KASHIWARA Masaki
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
Global properties of differential operators of subdeterminantal type and integral geometry on symmetric spaces
- Principal Investigator
  
  KAKEHI Tomoyuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  University of Tsukuba
変形頂点作用素代数の次数2の空間とモジュラー不変性
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
generalized Kac-Moodyリ-環と、関連する保型形式の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Development from prehomogeneous vector spaces to weakly spherical homogeneous spaces
- Principal Investigator
  
  KIMURA Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Research on quantum matrices and Hopf algebras
- Principal Investigator
  
  MITSUSHIRO Takeuchi
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
generalized Kac-Moody algebraの構造と表現の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
A step to the perfect classification of 24dimensional meromorphic vertex operator algebras
- Principal Investigator
  
  MIYAMOTO Masahiko
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Noncommutative geometry of quantum complex upper half plane and discrete subgroup of a non-compact quantum group
- Principal Investigator
  
  MASUDA Tetsuya
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
generalized Kac-Moody algebraの表現の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
generalized Kac-Moody algebra の表現論の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
複素解析学と関連分野の研究
- Principal Investigator
  
  佐藤宏樹
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shizuoka University
一般化されたKac-Moodyリー環の表現の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Shizuoka University
Kac-Moodyリー環とその表現の研究Principal Investigator
- Principal Investigator
  
  内藤聡
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Shizuoka University

[Journal Article] A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory2024
- Author(s)
  Lenart Cristian、Naito Satoshi、Sagaki Daisuke
- Journal Title
  
  Selecta Mathematica
  
  Volume: 30 Issue: 3
- DOI
  10.1007/s00029-024-00924-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03198
[Journal Article] Closed k-Schur Katalan functions as K-homology Schubert representatives of the affine Grassmannian2024
- Author(s)
  Ikeda Takeshi、Iwao Shinsuke、Naito Satoshi
- Journal Title
  
  Transactions of the American Mathematical Society, Series B
  
  Volume: 11 Issue: 20 Pages: 667-702
- DOI
  10.1090/btran/184
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03605, KAKENHI-PROJECT-21K03198, KAKENHI-PROJECT-22K03239, KAKENHI-PROJECT-23K03056, KAKENHI-PROJECT-20H00119
[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] New structure on the quantum alcove model with applications to representation theory and Schubert calculus2023
- Author(s)
  Kouno Takafumi、Lenart Cristian、Naito Satoshi
- Journal Title
  
  Journal of Combinatorial Algebra
  
  Volume: 7 Issue: 3 Pages: 347-400
- DOI
  10.4171/jca/77
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KJ2908, KAKENHI-PROJECT-21K03198
[Journal Article] Identities of Inverse Chevalley Type for the Graded Characters of Level-Zero Demazure Submodules over Quantum Affine Algebras of Type C2023
- Author(s)
  Kouno Takafumi、Naito Satoshi、Orr Daniel
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 27 Issue: 1 Pages: 429-460
- DOI
  10.1007/s10468-023-10221-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KJ2908, KAKENHI-PROJECT-21K03198
[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] 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] LEVEL-ZERO VAN DER KALLEN MODULES AND SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT t = ∞2020
- Author(s)
  NAITO SATOSHI、SAGAKI DAISUKE
- Journal Title
  
  Transformation Groups
  
  Volume: - Issue: 3 Pages: 1077-1111
- DOI
  10.1007/s00031-020-09586-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03920, KAKENHI-PROJECT-21K03198
[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] A combinatorial formula expressing periodic R-polynomials2017
- Author(s)
  S. Naito and H. Watanabe
- Journal Title
  
  J. Combin. Theory Ser. A
  
  Volume: 148 Pages: 197-243
- DOI
  10.1016/j.jcta.2016.12.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03920, KAKENHI-PROJECT-17J00172
[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] Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases2017
- Author(s)
  Naoki Fujita, Satoshi Naito
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 285 Issue: 1-2 Pages: 325-352
- DOI
  10.1007/s00209-016-1709-7
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16J00420, KAKENHI-PROJECT-16H03920
[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] Quantum Lakshmibai-Seshadri paths and root operators2016
- Author(s)
  C. Lenart, S. Naito, D. Sagaki, A. Schilling, and M. Shimozono
- Journal Title
  
  Adv. Stud. Pure Math.
  
  Volume: 71 Pages: 267-294
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[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] 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] Toward Berenstein-Zelevinsky data in affine type A, I : Construction ogaffne analogs2012
- Author(s)
  Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito
- Journal Title
  
  Contemp.Math.
  
  Volume: 565 Pages: 143-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[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] Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs2012
- Author(s)
  Daisuke Sagaki, Satoshi Naito, and Yoshihisa Saito
- Journal Title
  
  http://dx.doi.org/10.1090/conm/565/11187
  
  Volume: 565 Pages: 143-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540008
[Journal Article] Towoard Berenstein Zalevinsky data in affine type A, II : Expricit description2012
- Author(s)
  Daisuke Sagaki, Yoshihisa Saito, Satoshi Naito
- Journal Title
  
  Contemp. Math
  
  Volume: 565 Pages: 185-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Towoard Berenstein Zalevinsky data in affine type A, I : Constriction of affine analogs2012
- Author(s)
  Daisuke Sagaki, Yoshihisa Saito, Satoshi Naito
- Journal Title
  
  Contemp. Math
  
  Volume: 565 Pages: 143-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[Journal Article] Toward Berenstein-Zelevinsky data in affine type A, II : Explicit description2012
- Author(s)
  Satoshi Naito, Daisuke Sagaki, Yoshihisa Saito
- Journal Title
  
  Contemp.Math.
  
  Volume: 565 Pages: 185-216
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540009
[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 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_{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)
  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] 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] On tensor products of Mirkovic-Vilonen polytopes in type A2009
- Author(s)
  Satoshi NAITO, Daisuke SAGAKI, Yoshihisa SAITO
- Journal Title
  
  研究集会「表現論と組合せ論」報告集 (to appear, 掲載確定)
- Data Source
  KAKENHI-PROJECT-20540009
[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 crystal.2009
- Author(s)
  Naito, Satoshi; Sagaki, Daisuke
- Journal Title
  
  Adv. Math 221
  
  Pages: 1804-1842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340010
[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] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape.2008
- Author(s)
  Naito, Satoshi; Sagaki, Daisuke
- Journal Title
  
  Proc. Lond. Math. Soc. 96
  
  Pages: 582-622
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340010
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C.2008
- Author(s)
  Naito, Satoshi; Sagaki, Daisuke
- Journal Title
  
  J. Algebra 320
  
  Pages: 387-416
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340010
[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] Crystal structure on the set of Lakshmibai-Seshadri paths of an arbitrary level-zero shape2008
- Author(s)
  S. Naito, D. Sagaki
- Journal Title
  
  Proc. Lond. Math. Soc (3)96 no.3
  
  Pages: 582-622
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[Journal Article] Lakshmibai-Seshadri paths of level-zero shape and one-dimensional sums assocaited to level-zero2008
- Author(s)
  S. Naito, D. Sagaki
- Journal Title
  
  fundamental representations. Compos. Math 144no.6
  
  Pages: 1525-1556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[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] 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 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 representations.2008
- Author(s)
  Naito, Satoshi, Sagaki, Daisuke
- Journal Title
  
  144
  
  Pages: 1525-1556
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340010
[Journal Article] A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C2008
- Author(s)
  S. Naito, D. Sagaki
- Journal Title
  
  J. Algebra 320 no.1
  
  Pages: 387-416
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[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] Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules overtwisted quantum affine algebras2006
- Author(s)
  Naito, Satoshi, Sagaki, Daisuke
- Journal Title
  
  Comm. Math. Phys. 263,3
  
  Pages: 749-787
- Data Source
  KAKENHI-PROJECT-18540008
[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. Vol. 263-3
  
  Pages: 749-787
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[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] 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] Path model for a level-zero extremal weight module over a quantum affine algebra2006
- Author(s)
  S. Naito, D. Sagaki
- Journal Title
  
  II. Adv. Math 200, no. 1
  
  Pages: 102-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[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)
  S.Naito, D.Sagaki
- Journal Title
  
  Adv.Math. 200・1
  
  Pages: 102-124
- 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 and D.Sagaki
- Journal Title
  
  Comm. Math. Phys 263-3
  
  Pages: 749-787
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540008
[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
  
  Pages: 749-787
- Data Source
  KAKENHI-PROJECT-18340007
[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, no. 3
  
  Pages: 749-787
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[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] An approach to the branching rule from {\germ{sl}}\sb {2n}(\Bbb C) to {\germ{sp}}\sb {2n}(\Bbb C) via Littelmann's path model2005
- Author(s)
  S. Naito, D. Sagaki
- Journal Title
  
  J. Algebra 286, no. 1
  
  Pages: 187-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[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] 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 no. 14
  
  Pages: 815-840
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[Journal Article] Crystal base elements of an extremal weight module fixed by a diagram automorphism2005
- Author(s)
  S. Naito, D. Sagaki
- Journal Title
  
  Algebr. Represent. Theory 8, no. 5
  
  Pages: 689-707
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340001
[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] 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] Path model for a level-zero extremal weight module over a quantum affine algebra2003
- Author(s)
  Satoshi Naito, Daisuke Sagaki
- Journal Title
  
  IMRN 32
  
  Pages: 1731-1754
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440006
[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] 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] A presentation of the torus-equivariant quantum K-theory ring of flag manifolds type A2023
- Author(s)
  内藤聡
- Organizer
  第 19 回代数・解析・幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03198
[Presentation] Description of the Chevalley formula for the torus-equivariant quantum K-group of partial flag manifolds of (co-)minuscule type in terms of the parabolic quantum Bruhat graph2019
- Author(s)
  Satoshi Naito
- Organizer
  RIMS Workshop on Representation Theory of Algebraic Groups and Quantum Groups
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] A description of the Z[P]-module structure of the K-theory of finite-dimensional flag manifolds in terms of a generalization of LS paths2019
- Author(s)
  Satoshi Naito
- Organizer
  Workshop on Crystals and Their Generalizations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at t = infinity2018
- Author(s)
  Satoshi Naito
- Organizer
  Finite Groups, VOAs, and Related Topics 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] 量子アフィン代数の表現論2018
- Author(s)
  内藤聡
- Organizer
  2018 年度 (第 21 回) 日本数学会代数学賞受賞特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Pieri-Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds2018
- Author(s)
  Satoshi Naito
- Organizer
  Geometry and Representation Theory at the Interface of Lie Algebras and Quivers
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds2018
- Author(s)
  Satoshi Naito
- Organizer
  Workshop on Quantum K-theory and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds2018
- Author(s)
  Satoshi Naito
- Organizer
  京都大学数理解析研究所共同研究「組合せ論的表現論の諸相」
- Invited
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at infinity2017
- Author(s)
  Satoshi Naito
- Organizer
  Conference on Algebraic Representation Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Standard monomial theory for semi-infinite LS paths and semi-infinite flag manifolds2017
- Author(s)
  Satoshi Naito
- Organizer
  Taipei Workshop on Representation Theory of Lie Superalgebras and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Symmetric Macdonald polynomials and pseudo-quantum Lakshmibai-Seshadri paths2016
- Author(s)
  Satoshi Naito
- Organizer
  Infinite Analysis 16
- Place of Presentation
  大阪市立大学
- Year and Date
  2016-03-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540010
[Presentation] アフィン量子群上の extremal ウエイト加群の Demazure 部分加群の指標公式と、非対称 Macdonald 多項式の特殊化2016
- Author(s)
  Satoshi Naito
- Organizer
  日本数学会秋季総合分科会代数学分科会特別講演
- Place of Presentation
  関西大学, 大阪府吹田市
- Invited
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Pieri-Chevalley type formula for equivariant K-theory of semi-infinite flag manifolds2016
- Author(s)
  Satoshi Naito
- Organizer
  Conference on Algebraic Representation Theory
- Place of Presentation
  Harbin Institute of Technology, Shenzhen, China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] Standard monomial theory for semi-infinite LS paths with geometric application2016
- Author(s)
  Satoshi Naito
- Organizer
  Geometric Representation Theory 2016
- Place of Presentation
  Kyoto University, Kyoto, Japan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03920
[Presentation] 対称 Macdonald 多項式の t = 0 における特殊化と、アフィン量子群の有限次元表現2015
- Author(s)
  内藤聡
- Organizer
  第 60 回代数学シンポジウム
- Place of Presentation
  静岡大学
- Year and Date
  2015-09-03
- Invited
- Data Source
  KAKENHI-PROJECT-24540010
[Presentation] On two specializations of nonsymmetric Macdonald polynomials: at zero and at infinity2014
- Author(s)
  Satoshi Naito
- Organizer
  Shanghai Workshop on Representation Theory
- Place of Presentation
  Tongji University, Shanghai (Ｃｈｉｎａ）
- Year and Date
  2014-12-07
- Invited
- Data Source
  KAKENHI-PROJECT-24540010
[Presentation] On an intrinsic description of level-zero Lakshmibai-Seshadri paths and the quantum Schubert calculus2012
- Author(s)
  S. Naito
- Organizer
  Mathematical Society of Japan, Seasonal Institute 2012 "Schubert Calculus
- Place of Presentation
  大阪市立大.
- Year and Date
  2012-07-26
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] On the description of level-zero Lakshmibai-Seshadri paths in terms of the quantum Bruhat graph, Conference on Groups2012
- Author(s)
  S. Naito
- Organizer
  VOAs and Related Structures in Honor of Masahiko Miyamoto
- Place of Presentation
  筑波大学
- Year and Date
  2012-09-13
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] PolytopalestimateofMirkovic-VilonenpolytopeslyinginaDemazurecrystal2010
- Author(s)
  S.Naito
- 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 products and polytopal estimates of Mirkovic-Vilonen polytopes2010
- Author(s)
  S. Naito
- Organizer
  The 5th International Conference on Representation Theory
- Place of Presentation
  Xian (People's Republic of China)
- 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_{∞}, 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 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] Polytopal estimate of Mirkovic-Vilonen polytopes lying in a Demazure crystal2009
- Author(s)
  S. Naito
- Organizer
  International Workshop on "Combinatorial and Geometric Approach to Representation Theory
- Place of Presentation
  Seoul National University (Republic of Korea)
- Year and Date
  2009-09-21
- Data Source
  KAKENHI-PROJECT-20540006
[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] 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] Mirkovic-Vilonen polytopes lying in a Demazure crystal2008
- Author(s)
  S. Naito
- Organizer
  International Workshop on "Crystals and Tropical Combinatorics
- Place of Presentation
  京都市
- Year and Date
  2008-08-28
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] Mirkovic-Vilonen polytopes for Demazure crystals, Satellite Conference to the 5th European Congress of Mathematics2008
- Author(s)
  S. Naito
- Organizer
  Noncommutative Structures in Mathematical Physics
- Place of Presentation
  Brussels (Belgium)
- Year and Date
  2008-07-23
- Data Source
  KAKENHI-PROJECT-20540006
[Presentation] On crystals of Lakshmibai-Seshadri paths and extremal weight modules over quantum affine algebras2008
- Author(s)
  S. Naito
- Organizer
  2008年度表現論シンポジウム
- Place of Presentation
  静岡県熱海市
- Year and Date
  2008-11-12
- Data Source
  KAKENHI-PROJECT-20540006
[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] 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] On an intrinsic description of level-zero Lakshmibai-Seshadri paths and the quantum Schubert calculus
- Author(s)
  Satoshi Naito
- Organizer
  Mathematical Society of Japan, Seasonal Insitute 2012 "Schubert Calculus"
- Place of Presentation
  大阪市立大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540010
[Presentation] Semi-infinite LS path realization of Demazure subcrystals for level-zero extremal weight modules over quantum affine algebras
- Author(s)
  Satoshi Naito
- Organizer
  Shanghai Workshop on Representation Theory
- Place of Presentation
  Tongji University, People's Republic of China
- Invited
- Data Source
  KAKENHI-PROJECT-24540010
[Presentation] A new path model for extremal weight modules over quantum affine algebras
- Author(s)
  Satoshi Naito
- Organizer
  京都大学数理解析研究所共同利用研究集会「超弦理論, 表現論, 可積分系の数理」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24540010

1. MIYAMOTO Masahiko (30125356)

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Naito Satoshi 内藤 聡

NAITO Satoshi 内藤 聡

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半無限旗多様体の同変 K-群とアフィン量子群のレベル・ゼロ表現の研究Principal Investigator

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Relation between representations at the critical level and those of level zero for affine Lie algebras and semi-infinite flag manifoldsPrincipal Investigator

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Geometric realization of the crystal bases of standard modules over quantum affine algebrasPrincipal Investigator

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

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

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

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Naito Satoshi 内藤聡

NAITO Satoshi 内藤聡