NAKASHIMA Toshiki 中島俊樹

… Alternative Names

Researcher Number	60243193
Other IDs
Affiliation (Current)	2022: 上智大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2004 – 2020: 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 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

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

[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] 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
- DOI
  10.1080/00927872.2020.1770274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03564
[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] 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 mathématiques, Montréal, 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)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
2. SHINODA Ken-ichi (20053712)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
3. TSUZUKI Masao (80296946)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. YOKONUMA Takeo (00053645)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. TANISAKI Toshiyuki (70142916)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. KASHIWARA Masaki (60027381)

# of Collaborated Projects: 4 results

# of Collaborated Products: 3 results
7. MIWA Tetsuji (10027386)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. WADA Hideo (10053662)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. KIRILLOV Anatol (30346035)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. ARIKI Susumu (40212641)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. NAKAJIMA Hiraku (00201666)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. NAITO Satoshi (60252160)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. KANEDA Masaharu (60204575)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
15. NAKAYASHIKI Tasushi (10237456)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. OKADO Masato (70221843)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
17. GOTO Satoshi (00286759)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. SUZUKI Takeshi (30335294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. NOBE Atsushi (80397728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. SAKAMOTO Reiho (30528055)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
27. KUNIBA Atsuo (70211886)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 寺田至 (70180081)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 小池和彦 (70146306)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 山田裕史 (40192794)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 織田孝幸 (10109415)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 並河良典 (80228080)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 古閑義之 (20338429)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 中筋麻貴 (30609871)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. FOURIER Ghislain

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. LECOUVER Cedric

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. MISRA Kailash C.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. SCHILLING Anne

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. SHIMOZONO Mark

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. SCHAPIRA Pierre

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. KANG Seok-Jin

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. VILONEN Kari

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. D'AGNOLO Andrea

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. Ma. Louise Antonette N. De Las Penas

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. Loyola Mark L.

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

NAKASHIMA Toshiki 中島 俊樹

中島 俊樹 ナカシマ トシキ

Research Projects

Research Products

Co-Researchers

Approach to geometric crystals and cluster algebras from crystal base theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Representation theoretical Research on Cluster algebras and crystal basesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Construction of tropical R maps on geometric crystals and its applications to crystal basesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Construction of affine geometric crystals and Representation theory of crystal basesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Piecewise Linear Representation Theory of Quantum Groups and Geometric CrystalsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Combinatorial Representation Theory of Quantum GroupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

NAKASHIMA Toshiki 中島俊樹

中島俊樹ナカシマトシキ