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Naito Satoshi  内藤 聡

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NAITO Satoshi  内藤 聡

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Researcher Number 60252160
Other IDs
External Links
Affiliation (Current) 2022: 東京工業大学, 理学院, 教授
Affiliation (based on the past Project Information) *help 2016 – 2021: 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 / 解析学 / Basic analysis / Global analysis
Keywords
Principal Investigator
generalized Kac-Moody algebra / レベル・ゼロ表現 / Kac-Moodyリー環 / 表現論 / Lakshmibai-Seshadri path / 結晶基底 / path model / アフィン量子群 / アフィン量子群の表現論 / 半無限旗多様体 … More / 代数学 / アフィン・リー環 / 量子群の表現論 / Mirkovic-Vilonen多面体 / 量子群 / Demazureクリスタル / Lakshmibai-Seshadriパス / Lakshmibai-Seshadri パス / extremalウエイト加群 / quantum affine algebra / extremal weight module / アフィン・リー環の表現論 / 指標 / Kazhdan-Lusztig多項式 / Hecke環 / ホモロジー群 / 完全可約性 / Kac-Moody リー環 / 分母公式 / 指標公式 / Virasoro algebra / twining character / Demazure module / リー環論 / quantum Bruhat graph / 量子同変コホモロジー / Mirkovic-Vilonenサイクル / Berenstein-Zelevinsky datum / 代数的サイクル / Demazure crystal / アフィン・グラスマン多様体 / Minkowski和 / 既約最高ウエイト加群 / 既約最高ウエイト表現 / 有限次元半単純り一環 / extremal ウエイト加群 / Demazure 部分加群 / マクドナルド多項式 / Macdonald 多項式 / pQLS パス / Macdonald polynomial / crystal basis / quantum affine algebra / extremal weight module / Lakshmibai-Seshadri path / quantum Weyl module / semi-infinite Bruhat 順序 / 量子 Bruhat グラフ / Demazure 加群 / standard加群 / レベル・ゼロ / 基本表現 / crystal base / standard module / level zero / fundamental representation / レべル・ゼロ表現 / extremalウエイト加郡 / パス模型 / Kostka多項式 / エネルギー関数 / 既約最高ウェイト加群 / tropical Plucker関係式 / Anderson-Mirkovic予想 / Demazure加群 / エネルギー / degree関数 / レベル・ゼロ基本表現 / テンソル積 / Lakshmiba-Seshadri path / level-zero representation / crystal basis / energy function / Kostka polynomial / 量子 K-群 / 同変 K-群 / 同変量子 K-群 / シューベルト多様体 / Chevalley 公式 / トーラス同変 K-群 / アフィン量子群のレベル・ゼロ表現 / アフィン・リー環の臨界レベル表現 / 非対称Macdonald 多項式 / 臨界レベルの表現 / 半無限シューベルト多様体 … More
Except Principal Investigator
量子群 / 頂点作用素代数 / モンスター単純群 / ムーンシャイン予想 / 結晶基底 / ホップ代数 / 不連続群 / ラティス / モジュラー不変 / ヴィラソロ代数 / 自己同型群 / ジョルダン代数 / テンソル積 / ムーンシャイン加群 / 表現論 / D-加群 / 組紐カテゴリー / Monster simple group / braided category / quantum group / ショットキイ群 / ショットキイ空間 / クライン群 / タイヒミコラ-空間 / ヨルゲンセン数 / 離散群 / テーター関数 / 散在型有限単純群 / semi-ridigity / 表現 / 既約指標 / 非消滅元 / semi-rigidity / 原田予想 / マッカイの考察 / 位数公式 / 宮本自己同型 / フレイム頂点作用素代数 / 無限次元調和解析 / リー群の表現 / フーリエ解析 / ウェーブレット / 量子確率論 / 変形量子化 / アフィンヘッケ環 / 偏屈層 / 旗多様体 / ガロア理論 / FRT構成 / bialgebroid, Picard-Vessiot理論 / bialgebroid / 環論 / 森田理論 / 余加群代数 / 結晶基 / 群の表現論 / 代数解析 / 代数群 / イジング模型 / メロモルフィック / ムーンシャン予想 / Ising models / Lattices / Meromorphic / Virasoro algebra / Automorphism groups / Vertex operator algebra / Moonshine conjecture / ユニタリー表現論 / 双曲幾何学 / 自己共役作用素のスペクトル解析 / 保型関数論 / 非可換幾何学 / 複素構造 / モジュライ空間 / 有限群 / Quantum group / Unitary repreoentation / Hyperbolic geometry / Spectral analysis of a self-adjoint operator / Discontiumous group / Automorphic functions / Noncommutative geometry / Complex structure / 概均質ベクトル空間 / 弱球等質空間 / フーリエ変換 / 相対不変式 / Prehomogeneous vector spaces / weakly spherical homogeneous spaces / Fourier transform / Relative invaliant / 量子行列 / 結び目 / モジュラー圏 / 双フロベニウス代数 / cylinder行列 / Homfly多項式 / ボゾン化 / コホモロジー / ヘッケ代数 / matched pair / Kaplansky予想 / Kac-Moody群 / braidedホップ代数 / コサイクル変形 / 準結晶 / cylinder代数 / 量子ガロア群 / ガウス分解 / quantum matrix / Hopf algebra / braid / modular category / biFrobenius algebra / cylinder matrix / C2条件 / トレイス関数 / 擬トレイス関数 / 保型形式 / モジュラー関数 / ヒルベルト型保型形式 / ジーゲル型保型形式 / 格子型頂点作用素代数 / Vertex Operator Algebra / The moonshine module / C2-condition / Modular forms / Modular invariance / Trace funditons / Pseudo-trace functions / 幾何学的表現論 / 可解模型 / 組み合わせ / representation theory / crystal bases / D-modules / ラドン変換 / 積分幾何 / 対称空間 / 像の特徴付け / 反転公式 / パフィアン型微分作用素 / 平滑化作用 / アファイングラスマン多様体 / グラスマン多様体 / パフィアン / 不変微分作用素 / Radon transform / integral geometry / symmetric space / range characterization / inversion formula Less
  • Research Projects

    (28 results)
  • Research Products

    (123 results)
  • Co-Researchers

    (65 People)
  •  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
      内藤 聡
    • 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

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation

  • [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

    • 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: -

    • DOI

      10.1007/s00031-020-09586-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03920
  • [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 = ∞2019

    • Author(s)
      S. Naito, F. Nomoto, and D. Sagaki
    • Journal Title

      Transform. Groups

      Volume: 24

    • DOI

      10.1007/s00031-017-9467-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-16H03920
  • [Journal Article] Specialization of nonsymmetric Macdonald polynomials at t = ∞ and Demazure submodules of level-zero extremal weight modules2018

    • Author(s)
      S.Naito, F.Nomoto, and D.Sagaki
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 370 Pages: 2739-2783

    • DOI

      10.1090/tran/7114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04803, KAKENHI-PROJECT-16H03920
  • [Journal Article] A combinatorial formula expressing periodic R-polynomials2017

    • Author(s)
      S. Naito and H. Watanabe
    • Journal Title

      Journal of Combinatorial Theory, Series 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

      Transform. Groups

      Volume: 印刷中 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 = X2017

    • Author(s)
      C.Lenart, S.Naito, D.Sagaki, A. Schilling, and M. Shimozono
    • Journal Title

      Int. Math. Res. Not.

      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] Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases2017

    • Author(s)
      Naoki Fujita, Satoshi Naito
    • Journal Title

      Math. Z.

      Volume: 285 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 modules and specializations of Macdonald polynomials2016

    • Author(s)
      S. Naito and D. Sagaki
    • Journal Title

      Mathematische Zeitschrift

      Volume: 284 Pages: 937-978

    • DOI

      10.1007/s00209-016-1628-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540010, KAKENHI-PROJECT-16H03920, KAKENHI-PROJECT-15K04803
  • [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

      Adv. Math.

      Volume: 290 Pages: 967-1009

    • DOI

      10.1016/j.aim.2015.11.037

    • Peer Reviewed / Acknowledgement Compliant
    • 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 III: Proof of the connectedness2013

    • Author(s)
      S. Naito, D. Sagaki, and Y. Saito
    • Journal Title

      Springer Proc. Math. Stat.

      Volume: Vol.40 Pages: 361-402

    • DOI

      10.1007/978-1-4471-4863-0_15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540006, KAKENHI-PROJECT-24540010
  • [Journal Article] The Inversion Formula of Polylogarithms and the Riemann-Hilbert Problem2013

    • Author(s)
      M.Noumi, S.Tsujimoto and Y.Yamada
    • Journal Title

      Symmetries, Integrable Systems and Representations: Springer Proceedings in Mathematics & Statistics

      Volume: 40 Pages: 361-402

    • DOI

      10.1007/978-1-4471-4863-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340036, KAKENHI-PROJECT-22540035, KAKENHI-PROJECT-24540008, KAKENHI-PROJECT-24540205
  • [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 $A$, II: Expicit description2012

    • 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

    • 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] Tensor Products and Minkowski sums of Mirkovic-Vilonen polytopes2012

    • Author(s)
      S.Kato,S.Naito,andD.Sagaki
    • Journal Title

      Transform. Groups

      Volume: Vol.17,no.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 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] 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
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  • 2.  MORITA Jun (20166416)
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