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NAKASHIMA Toshiki  中島 俊樹

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中島 俊樹  ナカシマ トシキ

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Researcher Number 60243193
Other IDs
Affiliation (Current) 2023: 上智大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2004 – 2021: Sophia University, Faculty of Science and Technology, Professor, 理工学部, 教授
2001 – 2004: Faculty of Science and Technology, Sophia University, Associate Professor, 理工学部, 助教授
1998 – 2001: Sophia Univ.College of Sci.& Tech.L, 理工学部, 講師
1997: 大阪大学, 大学院・基礎工学研究科, 助手
1996: 大阪大学, 基礎工学部, 助手
1994: 大阪大学, 基礎工学部, 助手
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Algebra
Keywords
Principal Investigator
結晶基底 / 量子群 / 幾何結晶 / 多面体表示 / 超離散化 / ヘッケ環 / 熱帯化 / 単項式表示 / クラスター代数 / 頂点作用素 … More / 表現論 / 代数群 / マルコフトレース / 一般化小行列式 / potential / tropicalization / 柏原代数 / R-行列 / 量子展開環 / crystal base / quantum algebra / affine Lie algebra / 道空間表示 / Tropical R写像 / 保型形式 / Tropical R map / トロピカルR行列 / Bruhat cell / ワイル群 / 代数学 / トロピカルR写像 / 一般化行列式 / ブリューワーセル / トロピカルR写像 / picture / 冪単結晶 / イプシロン系 / トロピカルRマップ / 組みひも群 / 極大巡回表現 / coinvariant代数 / ガウス和 / 極外ベクトル / 極大巡回加群 / ゼータ関数 / イプシロン因子 / 組合せ論 / 1の巾根 / Quantum Groups / Crystal Bases / Braid Groups / Polyhedral Realizations / Maximal Cyclic Representations / coinvariant algebra / Hecke algebra / Gauss sum / マルコフートレース / 完全結晶 / tropical R / Drinfeld 多項式 / 1の冪根 / Markov trace / Hecke環 / Quantum Grouos / Crystal Bses / Geometric Crystals / Tropicalization / Ultra-Discretizations / Algebraic Groups / Hecke Akgebras / Markov Trace / 2重Bruhat cell / 2重Bruhat cell / double Bruhat cell / 一般小行列式 / Double Bruhat cell / Demazure結晶 / 単項式教示 / ポテンシャル / 一般化された小行列式 / 局所化された量子群 / 圏化 … More
Except Principal Investigator
量子群 / 表現論 / ガウス和 / character sum / Gelfand-Graev representation / coinvariant algebra / Kloosterman sum / 結晶基底 / 有限群の表現論 / 指標和 / gaussian sum / Hilbert scheme of G-orbit / unitary Kloosterman sum / Gauss sum / 変形量子化 / D-加群 / 代数学 / 有限群 / 表現 / 有限群の表現 / 可解模型 / アフィンリー環 / representation theory / combinatorics / almost character / Hilbert scheme of G-orbits / McKay correspondence / algebraic group / finite group / アフィンヘッケ環 / 偏屈層 / 旗多様体 / 群論 / ヘッケ環 / 簡約代数群 / ゲルファンドーグラエフ表現 / 可積分系 / ヤン・バクスター方程式 / セルオートマトン / 代数 / 指標 / リーマン・ヒルベルト対応 / 圏化 / 箙ヘッケ環 / 不確定特異点ホロノミック系 / 国際研究者交流 / イタリア:フランス:アメリカ:韓国 / ワイル・シューア双対性 / 超局所解析 / 岩堀ヘッケ環 / マルコフトレース / 鏡映群 / ストリングC群 / 組み合わせ論 / 組み合せ論 / 代数解析 / 量子郡 / 特殊凾数 / 対称空間 / quantum groups / solvable models / 組合せ論 / アフィンリ一環 / affine Lie Algebra / guantum group / kloosterman sum / unitary kloosterman sum / Character sum / Gelfand-Gracv representation / 有限簡約代教群 / 余不変式環 / SL(3,C)の有限部分群 / 有限簡約代数群 / ヒルベルトスキーム / クルスターマン和 / 中単指標 / McKay correspndence / McKay corresondence / 幾何学的表現論 / 組み合わせ / crystal bases / quantum group / D-modules / 有限簡約群 / 既約表現 / ゼータ関数 / 一般線型群 / Gelfand-Graev表現 / クルースタマン和 / finite reductive groups / irreducible representation / zeta function / general linear group Less
  • Research Projects

    (21 results)
  • Research Products

    (128 results)
  • Co-Researchers

    (45 People)
  •  Approach to geometric crystals and cluster algebras from crystal base theoryPrincipal Investigator

    • Principal Investigator
      中島 俊樹
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Sophia University
  •  Representation theoretical Research on Cluster algebras and crystal basesPrincipal Investigator

    • Principal Investigator
      Nakashima Toshiki
    • Project Period (FY)
      2015 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  Representation theory of Iwahori-Hecke algebras and reflection groups

    • Principal Investigator
      Gomi Yasushi
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  Algebraic analysis of infinite symmetry

    • Principal Investigator
      KASHIWARA Masaki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Construction of tropical R maps on geometric crystals and its applications to crystal basesPrincipal Investigator

    • Principal Investigator
      NAKASHIMA Toshiki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  Representation of finite groups, character sums, and their applications

    • Principal Investigator
      SHINODA Ken-ichi
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  Representation Theory of Quantum Groups and Integrable Systems

    • Principal Investigator
      OKADO Masato
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Construction of affine geometric crystals and Representation theory of crystal basesPrincipal Investigator

    • Principal Investigator
      NAKASHIMA Toshiki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia 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
  •  Representations of finite reductive groups and applications

    • Principal Investigator
      SHINODA Ken-ichi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  Piecewise Linear Representation Theory of Quantum Groups and Geometric CrystalsPrincipal Investigator

    • Principal Investigator
      NAKASHIMA Toshiki
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  A Study on the zeta functions attached with the irreducible representations of finite reductive groups

    • Principal Investigator
      SHINODA Ken-ichi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  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
  •  Combinatorial Representation Theory of Quantum GroupsPrincipal Investigator

    • Principal Investigator
      NAKASHIMA Toshiki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  Study on representations of algebraic groups and finite groups, and applications

    • Principal Investigator
      SHINODA Ken-ichi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  変形された量子展開環の結晶基底についてPrincipal Investigator

    • Principal Investigator
      中島 俊樹
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
      Osaka University
  •  Algebraic analysis of representation theory

    • Principal Investigator
      KASHIWARA Masaki
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY, RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
  •  Combinatorial Studies of Demazure Modules

    • Principal Investigator
      OKADO Masato
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Studies on Representations of Finite Groups and Applications

    • Principal Investigator
      SHINODA Ken-ichi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Sophia University
  •  柏原代数の頂点作用素とトレースについてPrincipal Investigator

    • Principal Investigator
      中島 俊樹
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  柏原代数に付随するq-頂点作用素のN点関数についてPrincipal Investigator

    • Principal Investigator
      中島 俊樹
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Osaka University

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] 結晶基底と幾何結晶2019

    • Author(s)
      中島俊樹
    • Total Pages
      180
    • Publisher
      サイエンス社
    • ISBN
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Adapted sequences and polyhedral realizations of crystal bases for highest weight modules2021

    • Author(s)
      Kanakubo Yuki、Nakashima Toshiki
    • Journal Title

      Journal of Algebra

      Volume: 574 Pages: 327-374

    • DOI

      10.1016/j.jalgebra.2021.01.016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20J00186, KAKENHI-PROJECT-20K03564
  • [Journal Article] Decomposition theorem for product of fundamental crystals in monomial realization2020

    • Author(s)
      Toshiki Nakashima with Manal Alshuqayr
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 43

    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Adapted sequence for polyhedral realization of crystal bases2020

    • Author(s)
      Toshiki Nakashima with Yuki Kanakubo
    • Journal Title

      Communications in Algebra

      Volume: 48 Pages: 4732-4766

    • DOI

      10.1080/00927872.2020.1770274

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03564, KAKENHI-PROJECT-20J00186
  • [Journal Article] Geometric crystals and Cluster ensembles in Kac-Moody setting2020

    • Author(s)
      Toshiki Nakashima, Yuki Kanakubo
    • Journal Title

      Journal of Geometry and Physics

      Volume: 149 Pages: 103576-103598

    • DOI

      10.1016/j.geomphys.2019.103576

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Adapted sequence for polyhedral realization of crystal bases2020

    • Author(s)
      Toshiki Nakashima with Yuki Kanakubo
    • Journal Title

      Communications in Algebra

      Volume: 48

    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Decomposition theorem for product of fundamental crystals in monomial realization2020

    • Author(s)
      Toshiki Nakashima with Manal Alshuqayr
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 43

    • DOI

      10.3836/tjm/1502179324

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03564
  • [Journal Article] Cluster algebras of finite type via Coxeter elements and Demazure crystals of type A2019

    • Author(s)
      Kailash C. Misra, Toshiki Nakashima
    • Journal Title

      Journal of Algebra

      Volume: 507 Pages: 149-206

    • DOI

      10.1093/imrn/rnw344

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Cluster Variables on Double Bruhat Cells G^{u,e} of Classical Groups and Monomial Realizations of Demazure Crystals2018

    • Author(s)
      Yuki Kanakubo, Toshiki Nakashima
    • Journal Title

      International Mathematics Research Notices

      Volume: 2018 Pages: 3621-3670

    • DOI

      10.1016/j.jalgebra.2018.03.041

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Explicit forms of cluster variables on double Bruhat cells G^{u,e} of type C2016

    • Author(s)
      Y.Kanakubo, T.Nakashima
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 39 Pages: 643-678

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Explicit forms of cluster variables on double Bruhat cells $G^{u,e}$ of type C2016

    • Author(s)
      Y.Kanakubo and T.Nakashima
    • Journal Title

      Tokyo J.Math.

      Volume: 39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Journal Article] Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A2015

    • Author(s)
      Toshiki Nakashima(with Y.Kanakubo )
    • Journal Title

      SIGMA

      Volume: 11 Pages: 033-065

    • DOI

      10.3842/sigma.2015.033

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Journal Article] Cluster Variables on Certain Double Bruhat Cells of Type $(u,e)$ and Monomial Realizations of Crystal Bases of Type A2015

    • Author(s)
      Y.Kanakubo and T.Nakashima
    • Journal Title

      SIGMA(Symmetry Integrability Geom. Methods Appl.)

      Volume: 11

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Journal Article] Decorated Geometric Crystals and Polyhedral Realizations of type D_n2014

    • Author(s)
      Nakashima, Toshiki
    • Journal Title

      Contemporary Mathematics

      Volume: 623 Pages: 227-242

    • DOI

      10.1090/conm/623/12466

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-22540031, KAKENHI-PROJECT-23540026
  • [Journal Article] Decorations on geometric crystals and monomial realizations of crystal bases for classical groups2014

    • Author(s)
      Nakashima, Toshiki
    • Journal Title

      Journal of Algebra

      Volume: 399 Pages: 712-769

    • DOI

      10.1016/j.jalgebra.2013.09.052

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-22540031, KAKENHI-PROJECT-23540026
  • [Journal Article] Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases2013

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Contemporary Mathematics

      Volume: 602 Pages: 143-163

    • DOI

      10.1090/conm/602/12025

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Journal Article] A_n^(1)-Geometric Crystal corresponding to Dynkin index i=2 and its ultra-discretization2013

    • Author(s)
      K. Misra and T.Nakashima
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: 40 Pages: 297-318

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases2013

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Contemporary Mathematics

      Volume: 602 Pages: 143-163

    • DOI

      10.1007/978-1-4471-4863-0_12

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] A_n^(1)-Geometric Crystal corresponding to Dynkin index i=2 and its ultra-discretization2013

    • Author(s)
      Toshiki Nakashima (with Kailash C. MIsra)
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: 40 Pages: 297-318

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Journal Article] RSK-type correspondence of pictures and Littlewood-Richardson crystals2013

    • Author(s)
      Toshiki Nakashima and Miki Shimojo
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 36 Pages: 113-130

    • DOI

      10.3836/tjm/1374497514

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031, KAKENHI-PROJECT-23540026
  • [Journal Article] Ultra-discretization of the D^(3)_4-Geometric Crystals to the G^(1)_2-Perfect Crystals2012

    • Author(s)
      M.Igarashi, Kailash C.Misra and T.Nakashima
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 255 Pages: 117-152

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Geometric Crystals on Flag varieties and Unipotent Subgroups of Classical Groups2011

    • Author(s)
      M.Igarashi, T.Nakashima
    • Journal Title

      Journal of Geometry and Physics

      Volume: 61 Pages: 2267-2284

    • DOI

      10.1016/j.geomphys.2011.07.001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031, KAKENHI-PROJECT-23540026
  • [Journal Article] Pictures and Littlewood-Richardson Crystals2011

    • Author(s)
      T.Nakashima, M.Shimojo
    • Journal Title

      Tokyo Jouranl of Mathematics

      Volume: 34 Pages: 493-506

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Admissible Pictures and Littlewood-Richardson Crystals2011

    • Author(s)
      T.Nakashima, M.Shimojo
    • Journal Title

      Communications in Algebra

      Volume: 39 Pages: 3849-3865

    • DOI

      10.1080/00927872.2010.512590

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031, KAKENHI-PROJECT-23540026
  • [Journal Article] Pictures and Littlewood-Richardson Crystals2011

    • Author(s)
      T.Nakashima and M. Shimojo
    • Journal Title

      Tokyo Jouranl of Mathematics

      Volume: 34 Pages: 493-506

    • DOI

      10.3836/tjm/1327931398

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Journal Article] Affine Geometric Crystal of type D^{(3)}_42010

    • Author(s)
      中島俊樹(M.Igarashi)
    • Journal Title

      Contemporary Mathematics 506

      Pages: 215-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine Geometric Crystal of type D^{(3)}_4.2010

    • Author(s)
      中島俊樹(M. Igarashi)
    • Journal Title

      Contemporary Mathematics 506

      Pages: 215-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine Geometric Crystal of type D^{(3)}_42010

    • Author(s)
      M.Igarashi, T.Nakashima
    • Journal Title

      Contemporary Mathematics

      Volume: 506 Pages: 215-226

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Epsilon Systems on Geometric Crystals of type A_n2010

    • Author(s)
      T.Nakashima
    • Journal Title

      Symmetry, Integrability and Geometry : Methods and Applications(SIGMA)

      Volume: 6 Pages: 023-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Tropical R maps and affine geometric crystals, Represent.2010

    • Author(s)
      M.Kashiwara, T.Nakashima, M.Okado
    • Journal Title

      Theory 14

      Pages: 446-509

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540016
  • [Journal Article] Tropical R maps and affine geometric crystals2010

    • Author(s)
      Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
    • Journal Title

      Represent.Theory

      Volume: 14 Pages: 446-509

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340005
  • [Journal Article] Tropical R maps and Affine Geometric Crystals2010

    • Author(s)
      M.Kashiwara, T.Nakashima, M.Okado
    • Journal Title

      Representation Theory

      Volume: 14 Pages: 446-509

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Ultra-discretization of the G^{(1)}_2-Geometric Crystals to the D^{(3)}_4-Perfect Crystals2010

    • Author(s)
      M.Igarashi, T.Nakashima
    • Journal Title

      Progress in Mathematics

      Volume: 284 Pages: 273-296

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Journal Article] Universal tropical R map of sl(2)and prehomogeneous geometric crystals2009

    • Author(s)
      T.Nakashima
    • Journal Title

      RIMS Kokyuroku Bessatu B11

      Pages: 101-116

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540024
  • [Journal Article] Universal tropical R map of sl(2)and prehomogeneous geometric crystals2009

    • Author(s)
      中島俊樹
    • Journal Title

      RIMS Kokyuroku Bessatsu B11

      Pages: 101-116

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Universal tropical R map of sl (2) and prehomogeneous geometric crystals2009

    • Author(s)
      中島俊樹
    • Journal Title

      RIMS Kokyuroku Bessatsu B11

      Pages: 101-116

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Universal tropical R map of sl(2) and prehomogeneous geometric crystals.2009

    • Author(s)
      中島俊樹
    • Journal Title

      RIMS Kokyuroku Bessatsu B11

      Pages: 101-116

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine Geometric Crystals and Limit of Perfect Crystals2008

    • Author(s)
      中島俊樹(with M. Kashiwara M. Okado)
    • Journal Title

      Transactions in American Mathematical Society 30

      Pages: 3645-3687

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine Geometric Crystals and Limit of Perfect Crystals.2008

    • Author(s)
      中島俊樹, (M. Kashiwara, M. Okado)
    • Journal Title

      Transactions in American Mathematical Society 30

      Pages: 3645-3687

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine geometric crystals and limit of perfect crystals2008

    • Author(s)
      Kashiwara Masaki ; Nakashima Toshiki ; Okado Masato
    • Journal Title

      Trans. Amer. Math. Soc 360, no.7

      Pages: 3645-3686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Affine Geometric Crystals and Limitof Perfect Crystals2008

    • Author(s)
      中島俊樹(M.Kashiwara M.Okado)
    • Journal Title

      Transactions in American Mathematical Society 30

      Pages: 3645-3687

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine Geometric Crystals and Limit of Perfect Crystals2008

    • Author(s)
      中島 俊樹
    • Journal Title

      Transactions of American Mathematical Society 360

      Pages: 3645-3686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine geometric crystals and limit of perfect crystals2008

    • Author(s)
      M. Kashiwara, Toshiki Nakashima, Masato Okado
    • Journal Title

      Trans. Amer. Math. Soc. 360,no.7

      Pages: 3645-3686

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Affine Geometric crystal of type G ^(1)_2 ,2007

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Contemporary Mathematics vol. 442

      Pages: 179-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540047
  • [Journal Article] Affine geometric crystal of type G^<(1)>22007

    • Author(s)
      T. Nakashima
    • Journal Title

      Contemporary Mathematics 442

      Pages: 179-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540047
  • [Journal Article] Affine Geometric Crystal of type G^{(1)}_2.2007

    • Author(s)
      中島俊樹
    • Journal Title

      Contemporary Mathematics 442

      Pages: 179-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine Geometric Crystal of type G^{(1)}_22007

    • Author(s)
      中島俊樹
    • Journal Title

      Contemporary Mathematics 442

      Pages: 179-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Affine geometric crystal of type G^(1)_22007

    • Author(s)
      T. Nakashima
    • Journal Title

      Contemporary Mathematics 442

      Pages: 157-171

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Affine Geometric Crystal of type G^{(1)}_22007

    • Author(s)
      中島 俊樹
    • Journal Title

      Contemporary Mathematics 442

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Journal Article] Geometric crystals and affine crystals2006

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Contemporary Mathematics 413

      Pages: 157-171

    • Data Source
      KAKENHI-PROJECT-18540047
  • [Journal Article] Evaluation representations and quantum affine algebras at roots of unity2006

    • Author(s)
      Y.Abe and T.Nakashima
    • Journal Title

      Journal of Mathematical Physics 47

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals and affine crystals2006

    • Author(s)
      Nakashima, Toshiki
    • Journal Title

      Contemporary Mathematics 413

      Pages: 157-171

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals and affine crystals2006

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Contemporary Mathematics vol. 413

      Pages: 157-171

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540047
  • [Journal Article] Evaluation representations and quantum affine algebras at roots of unity2006

    • Author(s)
      Y.Abe, T.Nakashima
    • Journal Title

      Journal of Mathematical Physics 47

      Pages: 1-28

    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Geometric crystals and affine crystals2006

    • Author(s)
      T.Nakashima
    • Journal Title

      Contemp. Math. 413

    • Data Source
      KAKENHI-PROJECT-18340007
  • [Journal Article] Evaluation representations and quantum affine algebras at roots of unity (with Y. Abe)2006

    • Author(s)
      Nakashima, Toshiki
    • Journal Title

      Journal of Mathematical Physics 47,8

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Nilpotent representations of Classical quantum groups at roots of unity2005

    • Author(s)
      Nakashima, Toshiki, Abe, Yuuki
    • Journal Title

      Journal of Mathematical Physics 46,11

      Pages: 113505-113505

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals on Schubert varieties2005

    • Author(s)
      T.Nakashima
    • Journal Title

      J. Geometry and Physics 53

      Pages: 197-225

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540042
  • [Journal Article] Geometric Crystals on Schubert Varieties2005

    • Author(s)
      T., Nakashima
    • Journal Title

      Journal of Geometry and Physics 53

      Pages: 197-225

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Polyhedral realizations of crystal bases for modified quantum algebras of type $A$2005

    • Author(s)
      Nakashima, Toshiki, Hoshino, Ayumu
    • Journal Title

      Communications in Algebra 32,7

      Pages: 2167-2191

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals on schubert varieties2005

    • Author(s)
      T.Nakashima
    • Journal Title

      Journal of Geometry and Physics 53

      Pages: 197-225

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals on Schubert varieties2005

    • Author(s)
      Nakashima, Toshiki
    • Journal Title

      Journal of Geometry and Physics 53,2

      Pages: 198-225

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals on Schubert varieties2005

    • Author(s)
      T.Nakashima
    • Journal Title

      J.Geometry and Physics 53

      Pages: 197-225

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540042
  • [Journal Article] Geometric Crystals on Schubert Varieties2005

    • Author(s)
      T.Nakashima
    • Journal Title

      Journal of Geometry and Physics 53

      Pages: 197-225

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Geometric crystals on Schubert varieties2005

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Journal of Geometry and Physics 53

      Pages: 197-225

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440006
  • [Journal Article] Geometric crystals on unipotent groups and generalized Young tableaux2005

    • Author(s)
      Nakashima, Toshiki
    • Journal Title

      Journal of Algebra 289,1

      Pages: 65-88

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Extremal projectors of q-boson algebras2004

    • Author(s)
      Toshiki Nakashima
    • Journal Title

      Commun.Math.Phys. 244

      Pages: 285-296

    • Data Source
      KAKENHI-PROJECT-13440006
  • [Journal Article] Extremal projectors of q-boson algebras2004

    • Author(s)
      T.Nakashima
    • Journal Title

      Communications in Mathematical Physics 244

      Pages: 285-296

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Journal Article] Extremal profectors of q-boson algebras2004

    • Author(s)
      T.Nakashima
    • Journal Title

      Comm. in Math. Physics 244

      Pages: 285-296

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540042
  • [Journal Article] Extremal projectors of q-boson algebras2004

    • Author(s)
      T.Nakashima
    • Journal Title

      Comm.in Math.Physics 244

      Pages: 285-296

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540042
  • [Journal Article] On certain maximal cyclic modules for the quantized special linear algebra at a root of unity2003

    • Author(s)
      Masaharu Kaneda, Toshiki Nakashima
    • Journal Title

      Pacific Journal of Mathmatics 211

      Pages: 273-282

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440006
  • [Journal Article] Polyhedral realizations of crystal bases for modified quantum algebras of type A

    • Author(s)
      T.Nakashima, A.Hoshino
    • Journal Title

      Communications in Algebra (to appear)(発表予定)

    • Data Source
      KAKENHI-PROJECT-16540039
  • [Presentation] Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type C_n2021

    • Author(s)
      中島 俊樹
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-20K03564
  • [Presentation] Half Potential on Geometric Crystals and the Crystal B(∞)2019

    • Author(s)
      Toshiki Nakashima
    • Organizer
      Workshop on Crystals and Their generalizations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Half Potentials on Geometric Crystals and Connectedness of Cell Crystals2019

    • Author(s)
      Toshiki Nakashima
    • Organizer
      Workshop on Lie Algebras, Their Generalizations and Quantum Analogs
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Half Potential on Geometric Crystals and the Crystal B(∞)2019

    • Author(s)
      中島俊樹
    • Organizer
      Workshop on Crystals and Their generalizations, Osaka City University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Crystal bases and geometric crystals2018

    • Author(s)
      中島俊樹
    • Organizer
      Workshop on Crystal bases, Cluster algebras, and Poisson Geometry, Hong Kong University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Geometric Crystals on Cluster Varieties2018

    • Author(s)
      中島俊樹
    • Organizer
      The Joint Meteing of China Mathematics Society-American Mathematics Society, Fudan University, Shanghai
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Product Structure on Monomial Realizations of Type A fundamental crystals2018

    • Author(s)
      T. Nakashima
    • Organizer
      Seminaire de Theorie des Groupes, Universit\'e de Picardie
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Geometric Crystals on Cluster Varieties2018

    • Author(s)
      T.Nakashima
    • Organizer
      S'eminaire d'Algebre, Universite Pierre et Marie Curie,
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Geometric crystals and cluster varieties2017

    • Author(s)
      T. Nakashima
    • Organizer
      Seminaire d'algebre et de g'eom'etrie, Universite caen Normandie
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Cluster algebras of Finite A Type and Demazure Crystals2017

    • Author(s)
      T.Nakashima
    • Organizer
      Seminaire Groupes, Representations et Geometrie, Universite Diderot
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] クラスター代数と結晶基底2016

    • Author(s)
      中島 俊樹
    • Organizer
      研究集会「Tokyo Journal of Mathematics 筱田記念号刊行に寄せて」
    • Place of Presentation
      上智大学(東京)
    • Year and Date
      2016-03-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Affine Geometric Crystal of A^(1)n and Limit of Kirillov-Reshetikhin Perfect Crystals2016

    • Author(s)
      中島 俊樹
    • Organizer
      日本数学会2016年度秋季分科会
    • Place of Presentation
      関西大学(大阪府、吹田市)
    • Year and Date
      2016-09-15
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Demazure Crystals and Cluster Algebras2016

    • Author(s)
      中島 俊樹
    • Organizer
      Algebra Seminar
    • Place of Presentation
      North Carolina State University, USA
    • Year and Date
      2016-08-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Affine Geometric Crystals and Limit of KR Perfect Crystals of $A^{(1)}_n$2015

    • Author(s)
      T. Nakashima
    • Organizer
      8th South Eastern Lie Theory Workshop on Algebraic and Combinatiroal Representaion Theory
    • Place of Presentation
      North Carolina State University (USA)
    • Year and Date
      2015-10-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Affine Geometric Crystals and limit of KR perfect crystals of type A^(1)_n2015

    • Author(s)
      中島 俊樹
    • Organizer
      South eastern Lie Theory workshop on Algebraic and Combinatorial Representation Theory
    • Place of Presentation
      North Carolina State University,(USA)
    • Year and Date
      2015-10-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Polyhedral Realizations of Crystal Bases2015

    • Author(s)
      T. Nakashima
    • Organizer
      8th South Eastern Lie Theory Workshop on Algebraic and Combinatiroal Representaion Theory, Discussion Sessions
    • Place of Presentation
      North Carolina State University (USA)
    • Year and Date
      2015-10-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Polyhedral Realization of Crystal Bases2015

    • Author(s)
      中島 俊樹
    • Organizer
      South eastern Lie Theory workshop on Algebraic and Combinatorial Representation Theory
    • Place of Presentation
      North Carolina State University,(USA)
    • Year and Date
      2015-10-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04794
  • [Presentation] Cluster Variables on Double Bruhat cells and Monomial Realizations of Crystal Bases New Directions in Lie Theory2014

    • Author(s)
      Toshiki Nakashima
    • Organizer
      Combinatorial Representation Theory
    • Place of Presentation
      Centre de recherches math&eacute;matiques, Montr&eacute;al, Canada
    • Year and Date
      2014-04-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Cluster Variables on Double Bruhat Cells and Monomial Realizations of Crystal Bases2014

    • Author(s)
      中島 俊樹
    • Organizer
      New Directions in Lie Theory
    • Place of Presentation
      Montreal, Canada
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Upper Cluster Algebras on Double Bruhat Cells and Monomial Realizations of Crystal Bases2014

    • Author(s)
      Toshiki Nakashima
    • Organizer
      ICM satellite Conference on Representation Theory and Related Topics
    • Place of Presentation
      EXCO, Daegu, South Korea
    • Year and Date
      2014-08-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Crystal Bases and Upper Cluster Algebras on Double Bruhat Cells2014

    • Author(s)
      Toshiki Nakashima
    • Organizer
      Conference on Cluster Algebras and Representation Theory
    • Place of Presentation
      KIAS, Seoul, South Korea
    • Year and Date
      2014-11-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Monomial realizations of crystal bases and elementary characters2012

    • Author(s)
      Toshiki Nakashima
    • Organizer
      The XXIX International Colloquium on Group-Theoretic Methods in Physics
    • Place of Presentation
      Chern Institute of Mathematics, Tianjin, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Elementary characters and monomial realizations of crystal bases2012

    • Author(s)
      Toshiki Nakashima
    • Organizer
      Algebraic and Combinatorial approaches to representation
    • Place of Presentation
      University of California Riverside, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Geometric Crystals, Elementary Characters and Monomial Realizations of Crystal Bases2011

    • Author(s)
      中島 俊樹
    • Organizer
      Symmetries, Integrable Systems and Representations(招待講演)
    • Place of Presentation
      Lyon, France
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Generalized Minors and Crystal Bases2011

    • Author(s)
      中島 俊樹
    • Organizer
      可積分系とその周辺(招待講演)
    • Place of Presentation
      大阪大学
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Elementary Characters and Monomial Realizations of Crystal Base2011

    • Author(s)
      中島 俊樹
    • Organizer
      Infinite Analysis 11 Winter School: Quantum cluster algebras and related topics, Graduate School of Science(招待講演)
    • Place of Presentation
      大阪大学
    • Data Source
      KAKENHI-PROJECT-23540026
  • [Presentation] Elementary Characters and Monomial Realizations of Crystal Base2011

    • Author(s)
      中島俊樹
    • Organizer
      Infinite Analysis 11 Winter School : Quantum cluster algebras and related topics, Graduate School of Science
    • Place of Presentation
      大阪大学(招待講演)
    • Year and Date
      2011-12-23
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Generalized Minors and Crystal Bases2011

    • Author(s)
      中島俊樹
    • Organizer
      研究会「可積分系とその周辺」
    • Place of Presentation
      大阪大学(招待講演)
    • Year and Date
      2011-07-02
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Geometric Crystals, Elementary Characters and Monomial Realizations of Crystal Bases2011

    • Author(s)
      中島俊樹
    • Organizer
      International conference "Symmetries, Integrable Systems and Representations"
    • Place of Presentation
      Lyon, France(招待講演)
    • Year and Date
      2011-12-15
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] 幾何結晶と多面体表示I,II2010

    • Author(s)
      T.Nakashima
    • Organizer
      表現論、組み合わせ論とその周辺
    • Place of Presentation
      琉球大学
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Decorated Geometric Crystals, Monomial Realizations and Polyhedral Realizations of Crystal Bases2010

    • Author(s)
      T.Nakashima
    • Organizer
      GCOE Conference : Algebraic and geometric aspects of discrete integrable systems-integrable systems and cluster algebras
    • Place of Presentation
      東京大学
    • Year and Date
      2010-12-15
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Geometric and Unipotent Bicrystals and Polyhedral Realization of Crystal bases2010

    • Author(s)
      T.Nakashima
    • Organizer
      ICM Satellite Conference, Algebraic and Combinatorial Approaches to Representation Theory
    • Place of Presentation
      National Institute of Advanced Studies, Bangalore, India
    • Year and Date
      2010-08-12
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] RSK type correspondcnce of Pictures and Littlewood-Richardson Crystals2010

    • Author(s)
      中島俊樹
    • Organizer
      2010年日本数学会秋季代数学分科会、無限可積分系セッション
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-25
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Epsilon Systems of geometric Crystals.2009

    • Author(s)
      中島俊樹
    • Organizer
      Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems, (A satellite meeting of the Isaac Newton Institute Programme on Desicrete Integrable Systems)
    • Place of Presentation
      The University of Glasgow, United Kingdom.
    • Year and Date
      2009-03-31
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Admissible Pictures and Littlewood-Richardson Crystals2009

    • Author(s)
      中島俊樹
    • Organizer
      International workshop on combinatorial and geometric approach to representation theory
    • Place of Presentation
      Seoul National University
    • Year and Date
      2009-09-21
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Epsilon Systems of geometric Crystals", Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems2009

    • Author(s)
      中島俊樹
    • Organizer
      A satellite meeting of the Isaac Newton Institute Programme on Desicrete Integrable Systems
    • Place of Presentation
      The University of Glasgow, United Kingdom
    • Year and Date
      2009-03-31
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Admissible Pictures and Littlewood-Richardson Crystals.2009

    • Author(s)
      中島俊樹
    • Organizer
      International Workshop on Combinatorial and Geometric approach to Representation Theory
    • Place of Presentation
      Seoul National University, Korea
    • Year and Date
      2009-09-21
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Admissible Pictures and Littlewood-Richardson Crystals2009

    • Author(s)
      中島俊樹
    • Organizer
      International Workshop on Combinatorial and Geometric approach to Representation Theory
    • Place of Presentation
      Seoul National University, Korea
    • Year and Date
      2009-09-21
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems2009

    • Author(s)
      中島俊樹
    • Organizer
      Epsilon Systems of geometric Crystals
    • Place of Presentation
      Glasgow, United Kingdam
    • Year and Date
      2009-03-31
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Geometric Crystals on flag varieties andmaximal unipotent subgroups.2008

    • Author(s)
      中島俊樹
    • Organizer
      Workshop, 'Crystals and Tropical Combinatorics'
    • Place of Presentation
      Kansai Seminar House, 京都
    • Year and Date
      2008-08-30
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Affine Tropical R and Prehomogeneous Geometric Crystals.2008

    • Author(s)
      中島俊樹
    • Organizer
      Quantum Affine Lie Algebras, Extended Affine Lie Algebras, and Applications
    • Place of Presentation
      Banff International Research Stations
    • Year and Date
      2008-03-05
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Geometric Crystals on flag varieties andmaximal unipotent subgroups2008

    • Author(s)
      中島俊樹
    • Organizer
      Workshop, 'Crystals and Tropical Combinatorics'
    • Place of Presentation
      Kansai Seminar House, 京都
    • Year and Date
      2008-08-30
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Geometric Crystals on flag varieties and unipotent radicals2008

    • Author(s)
      Toshiki Nakashima
    • Organizer
      2008 年度日本数学会総会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Data Source
      KAKENHI-PROJECT-18540047
  • [Presentation] Affine Tropical R and Prehomogeneous Geometric Crystals2008

    • Author(s)
      中島俊樹
    • Organizer
      Quantum Affine Lie Algebras, Extended Affine Lie Algebras, and Applications
    • Place of Presentation
      Banff International Research Stations, Canada
    • Year and Date
      2008-03-05
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Affine Tropical R and Prehomogeneous Geometric Crystals2008

    • Author(s)
      中島 俊樹
    • Organizer
      Quantum Affine Lie Algebras, Extended Affine Lie Algebras, and Applications
    • Place of Presentation
      Banff Internationl Research Station,Canada
    • Year and Date
      2008-03-05
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Geometric crystals on flag varieties and maximalunipotent radicals2008

    • Author(s)
      中島俊樹
    • Organizer
      日本数学会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Data Source
      KAKENHI-PROJECT-18540047
  • [Presentation] Uniqueness of tropical R2007

    • Author(s)
      中島俊樹
    • Organizer
      組合せ論的表現論の拡がり
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-25
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Uniqueness of tropical R'2007

    • Author(s)
      中島俊樹
    • Organizer
      組合せ論的表現論の拡がり
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-25
    • Data Source
      KAKENHI-PROJECT-19540050
  • [Presentation] Affine Geometric Crystals and Tropical R2005

    • Author(s)
      T., Nakashima
    • Organizer
      Lie Algebras, Vertex Operator Algebras and Their Applications
    • Place of Presentation
      Norht Carolina State University, USA
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540039
  • [Presentation] Affine Geometric Crystals and Tropical R2005

    • Author(s)
      中島 俊樹
    • Organizer
      Lie Algebras, Vertex Operator Algebras and Their Applications
    • Place of Presentation
      North Carolina State Univ USA
    • Year and Date
      2005-05-17
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540039
  • [Presentation] Crystal Bases and Upper Cluster Algebras on Double Bruhat Cells

    • Author(s)
      Nakashima, Toshiki
    • Organizer
      Conference on Cluster Algebras and Representation Theory, CMC Thematic Program on Cluster Algebras in Mathematics and Physics
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2014-11-04 – 2014-11-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Cluster Variables on Double Bruhat cells and Monomial Realizations of Crystal Bases

    • Author(s)
      Nakashima, Toshiki
    • Organizer
      New Directions in Lie Theory, Combinatorial Representation Theory
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2014-04-19 – 2014-04-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Elementary characters and monomial realizations of crystal bases

    • Author(s)
      中島 俊樹
    • Organizer
      Algebraic and Combinatorial approaches to representation
    • Place of Presentation
      University of California Riverside, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Upper Cluster Algebras on Double Bruhat Cells and Monomial Realizations of Crystal Bases

    • Author(s)
      Nakashima, Toshiki
    • Organizer
      ICM satellite Conference on Representation Theory and Related Topics
    • Place of Presentation
      Daegu, Korea
    • Year and Date
      2014-08-05 – 2014-08-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Monomial realizations of crystal bases and elementary characters

    • Author(s)
      中島 俊樹
    • Organizer
      The XXIX International Colloquium on Group-Theoretic Methods in Physics
    • Place of Presentation
      Nankai University, China
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • [Presentation] Decorated Geometric Crystals and Monomial Realizations of Crystals

    • Author(s)
      中島 俊樹
    • Organizer
      American Mathematical Society Fall SoutheasternSection Meeting,Special Session on Geometric andAlgebraic Aspects of Representation Theory
    • Place of Presentation
      Tulane University, New Orleans, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540031
  • 1.  GOMI Yasushi (50276515)
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    # of Collaborated Products: 0 results
  • 2.  SHINODA Ken-ichi (20053712)
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  • 3.  TSUZUKI Masao (80296946)
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  • 4.  YOKONUMA Takeo (00053645)
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  • 5.  TANISAKI Toshiyuki (70142916)
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  • 6.  KASHIWARA Masaki (60027381)
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  • 7.  MIWA Tetsuji (10027386)
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  • 8.  TSUNOGAI Hiroshi (20267412)
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  • 9.  WADA Hideo (10053662)
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  • 12.  NAKAJIMA Hiraku (00201666)
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  • 13.  NAITO Satoshi (60252160)
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  • 14.  KANEDA Masaharu (60204575)
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  • 15.  NAKAYASHIKI Tasushi (10237456)
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  • 16.  OKADO Masato (70221843)
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  • 17.  GOTO Satoshi (00286759)
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  • 18.  SUZUKI Takeshi (30335294)
    # of Collaborated Projects: 1 results
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  • 19.  NOBE Atsushi (80397728)
    # of Collaborated Projects: 1 results
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  • 20.  SAKAMOTO Reiho (30528055)
    # of Collaborated Projects: 1 results
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  • 21.  KATO Syu (40456760)
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  • 22.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  GYOJA Akihiko (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  OKADA Soichi (20224016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  KUROKI Gen (10234593)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  OGAWA Toshiyuki (80211811)
    # of Collaborated Projects: 1 results
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  • 27.  KUNIBA Atsuo (70211886)
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  • 28.  寺田 至 (70180081)
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  • 29.  小池 和彦 (70146306)
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  • 30.  山田 裕史 (40192794)
    # of Collaborated Projects: 1 results
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  • 31.  織田 孝幸 (10109415)
    # of Collaborated Projects: 1 results
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  • 32.  並河 良典 (80228080)
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  • 33.  古閑 義之 (20338429)
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  • 34.  中筋 麻貴 (30609871)
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  • 35.  FOURIER Ghislain
    # of Collaborated Projects: 1 results
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  • 36.  LECOUVER Cedric
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  • 37.  MISRA Kailash C.
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  • 38.  SCHILLING Anne
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  • 39.  SHIMOZONO Mark
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  • 40.  SCHAPIRA Pierre
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  • 41.  KANG Seok-Jin
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  • 42.  VILONEN Kari
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  • 43.  D'AGNOLO Andrea
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  • 44.  Ma. Louise Antonette N. De Las Penas
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  • 45.  Loyola Mark L.
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