• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

KOIKE Kazuhiko  小池 和彦

ORCIDConnect your ORCID iD *help
… Alternative Names

小池 和彦  コイケ カズヒコ

Less
Researcher Number 70146306
Other IDs
External Links
Affiliation (Current) 2020: 青山学院大学, 社会情報学部, 教授
Affiliation (based on the past Project Information) *help 2009 – 2010: 青山学院大学, 社会情報学部, 教授
1996 – 2007: 青山学院大学, 理工学部, 教授
1996: 青山学院大学, 理工学部・数学教室, 教授
1993 – 1995: 青山学院大学, 理工学部・数学教室, 助教授
1993: 青山学院大学, 理工学部, 助教授
1988 – 1991: 青山学院大学, 理工学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Global analysis / Geometry / Basic analysis
Keywords
Principal Investigator
古典群 / ヤング図形 / ヘッケ環 / ワイル群 / Weyl groups / 対称群 / 不変式 / 複素鏡映群 / 鏡映群 / 代数曲面 … More / 計算数学 / 指標 / 多倍精度整数計算 / 楕円曲線 / 保型形式 / スピン群 / Spin groups / 量子群 / ロビンソン-シェーンステッド対応 / 複素曲面 / 整数論 / ロビンソン シューンステッド対応 / 旗多様体 / 次元・公式 / 一般型代数曲線 / 次元公式 / 複素構造 / 可換微分作用素 / 力学系 / 幾何種数 / q-analog / 中心化群 / 計算数論 / 普遍指標 / Classical Groups / Young diagram / commutative differential operators / Dynamical systems / Algebraic surface / Geometric genus / Computational mathematics / 双対対 / 超リー代数 / 両側セル / symmetric groups / Hecke algebras / dual pairs / Super Lie algebras algebras / two-sided cells / ブラウア中心化環 / ジャクソン積分 / ラマヌジャン / マクドナルドの恒等式 / Classical groups / Brauer centralizer alegebras / Young diagrams / Jackson integrals / Ramanujan / Macdonald identity / 代数学 / 組合せ論 / 表現論 / 組み合せ論 / 対称式 / algebra / combinatoics / representation theor / classical groups … More
Except Principal Investigator
ヤング図形 / Young図形 / 古典群 / 表現論 / 組合せ論 / Robinson-Schensted対応 / ジャクソン積分 / ロビンソン・シェンステッド対応 / representation theory / Young diagrams / Jackson integrals / 古典群の表現 / テンソル積 / quivers / ヘッケ環 / 量子群 / 指標 / ジョルダン標準形 / 半順序集合 / q-差分方程式 / quantum groups / combinatorics / classical groups / Brauer diagrams / alternating sign matrix / 可換微分作用素系 / commuting differential operators / カロジェロ模型 / 非線型熱方程式 / ブラウン運動 / ヤング-ダイアグラム / 既約表現 / Poincave予想 / 写像度 / 種数 / 群の表現 / コクセタ-図形 / 不等式環 / ウェイトの重複変 / 多倍精度整数計算 / 楕円曲線 / 複素鏡映群 / マーナガン中山の公式 / 一般型代数曲面 / 楕円モジュラ曲面 / 3次元ポアンカレ予想 / ザイフェルト膜系 / 多倍精度整數計算 / 橢圓曲線 / ポアンカレ級數 / 鏡映群 / 不變式 / 一般型代數曲面 / シューア関数 / 全単射 / Littlewood-Richardson規則 / ベキ零行列 / Jordan標準形 / 旗多様体 / リトルウッド・リチャードソン則 / ロビンソン・シャンステッド対応 / シンプレクティック群 / 既約成分 / 代数多様体 / 対称群 / 冪等元 / デュアル・ペア / 冪零行列 / 可換微分作用素 / Calogero模型 / Whittaker模型 / q-超幾何関数 / Calogero 模型 / 群の既約表現 / 既約指標 / 絡み目 / 可解模型 / 組み合わせ論 / 組み合せ論 / アフィンリー環 / 代数解析 / 量子郡 / 特殊凾数 / 対称空間 / solvable models / 盤 / グラウアー図形 / べき零行列 / ブラウアー図形 / 分岐則 / 小行列式 / Well表現 / combinatiorics / tableaux / Robinson-Schensted correspondence / nilpotent matrices / 量子群の表現 / Schur関数 / SchurのQ-関数 / Kazdan-Lusztig予想 / D加群 / 小行列式の和公式 / crystal base / representations / Schur functions / RS correspondence / KL conjecture / Springer variety / involution / Brauer-diagram / Springer varieyy / Brauer diagram / tableau / Steinberg variety / the Robinson-Schensted correspondence / the Springer variety / partially ordered sets / involutions / リアプノフ指数 / 力学系 / 高木関数 / Lyapunov index / dynamical systems / Takagi function / ワイル群対称性 / 漸近展開 / 楕円テータ関数 / カロジェロモデル / 楕円データ関数 / Weyl group symmetry / asymptotic behavior / elliptic theta functions / Calogero model / ワイル群の不変式 / Calogero models / ワイル群 / q超幾何関数 / 接続公式 / ファンデルモンド型行列式 / F4型ワイル群不変式 / ルート系 / Kazhdan-Lusztig多項式 / 複素簡約型リー群 / 対称式 / ホロノミックq-差分方程式 / Weyl group / q-difference system / basic hypergeometric series / connection formula / Vandermonde-type determinant / invariant polynomials of type F4 Less
  • Research Projects

    (26 results)
  • Research Products

    (10 results)
  • Co-Researchers

    (31 People)
  •  Representation theory (of classical groups, quantum groups and Hecke algebras) and combinatorics

    • Principal Investigator
      TERADA Itaru
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Construction and classification of systems of multi-variable commutative differential operators

    • Principal Investigator
      TANIGUCHI Kenji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Aoyama Gakuin University
  •  Study on representation theory of the classical groups and their related combinatoricsPrincipal Investigator

    • Principal Investigator
      KOIKE Kazuhiko
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  Research on the holonomic q difference systems associated with the Jackson integrals of Weyl group invariant

    • Principal Investigator
      ITO Masahiko
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  The study of infinite product formulae for the Jackson integrals with Weyl group symmetry and their applications.

    • Principal Investigator
      ITO Masahiko
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  Geometric invariants of representations and the Whittaker models

    • Principal Investigator
      TANIGUCHI Kenji
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Aoyama Gakuin University
  •  Representation Theory, Combinatorics and Related TopicsPrincipal Investigator

    • Principal Investigator
      KOIKE Kazuhiko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      AOYAMA GAKUIN UNIVERSITY
  •  Representation theory and combinatorics of classical groups, quantum groups and Hecke algebras

    • Principal Investigator
      TERADA Itaru
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Research for higher dimensional Takagi functions

    • Principal Investigator
      YANO Koichi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Aoyamagakuin University
  •  REPRESENTATION THEORY AND COMBINATORICS AND RELATED TOPICSPrincipal Investigator

    • Principal Investigator
      KOIKE Kazuhiko
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      AOYAMA GAKUIN UNIVERSITY
  •  Combinatorics in representation theory of classical groups and quantum groups, and applications

    • Principal Investigator
      OKADA Soichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Nagoya 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
  •  Representation theory and combinatorics of classical groups, quantum groups and Hecke algebras

    • Principal Investigator
      TERADA Itaru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Study of Representation theory and Combinatorics and their related topicsPrincipal Investigator

    • Principal Investigator
      KOIKE Kazuhiko
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      AOYAMA GAKUIN UNIVERSITY
  •  古典群,量子群,ヘッケ環の表現論と組合せ論

    • Principal Investigator
      寺田 至
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  表現論,組み合せ論の研究Principal Investigator

    • Principal Investigator
      小池 和彦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  表現論,組合せ論とその周辺の総合的研究Principal Investigator

    • Principal Investigator
      小池 和彦
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  古典群、量子群、ヘッケ環の表現論と組み合せ論Principal Investigator

    • Principal Investigator
      小池 和彦
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Aoyama Gakuin University
  •  代數幾何とその周辺の総合的研究

    • Principal Investigator
      井上 政久
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  古典群、量子群、ヘッケ環の表現論と組合せ論Principal Investigator

    • Principal Investigator
      小池 和彦
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Aoyama Gakuin University
  •  代数群とその周辺の総合的研究

    • Principal Investigator
      伊原 信一郎
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  リー群、シェバレー群、コクセター群に関する研究Principal Investigator

    • Principal Investigator
      小池 和彦
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  表現論、組合せ論とその周辺に関する研究

    • Principal Investigator
      岩堀 信子
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Aoyama Gakuin University
  •  低次元多様体の写像の組合せ論的研究

    • Principal Investigator
      本間 龍雄
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Aoyama Gakuin University
  •  非線型熱方程式の確率論的考察とその周辺

    • Principal Investigator
      白尾 恒吉
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Aoyama Gakuin University
  •  組合せ論とその周辺に関する研究

    • Principal Investigator
      岩堀 信子
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Aoyama Gakuin University

All 2006 2002

All Journal Article

  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      Kazuhiko, Koike, Masahiko, Ito
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      M.Ito & K.Koike
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      小池 和彦、伊藤 雅彦
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      小池和彦, 伊藤雅彦
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      Kazuhiko, Koike, Masahikom, Ito
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      M.Ito, K.Koike
    • Journal Title

      Journal of Algebra 302

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Spin Representations and Centralizer Algebras for Spin(2n+1)2002

    • Author(s)
      Koike, Kazuhiko
    • Journal Title

      RIMS-kokyuroku 1262

      Pages: 9-26

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12640085
  • [Journal Article] Spin Representations and Centralizer Algebras for Spin(2n)2002

    • Author(s)
      Koike, Kazuhiko
    • Journal Title

      RIMS-kokyuroku 1262

      Pages: 30-51

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12640085
  • [Journal Article] Spin Representations and Centralizer Algebras for Spin(2n+1)2002

    • Author(s)
      小池和彦
    • Journal Title

      京都大学数理解析研究所講究録 1262

      Pages: 9-26

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12640085
  • [Journal Article] Spin Representations and Centralizer Algebras for Spin(2n)2002

    • Author(s)
      小池和彦
    • Journal Title

      京都大学数理解析研究所講究録 1262

      Pages: 30-51

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-12640085
  • 1.  NAKANE Takashi (50082805)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 2.  IHARA Shinichiro (30012347)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 3.  INOUE Masahisa (30082803)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 4.  岩堀 信子 (10082744)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 5.  TANIGUCHI Kenji (20306492)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 6.  TERADA Itaru (70180081)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 7.  KIMURA Isamu (40082820)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 8.  ITO Masahiko (30348461)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 6 results
  • 9.  YANO Kouichi (60114691)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 10.  TANAKA Yohei (00135295)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 11.  OKADA Soichi (20224016)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 12.  ARIKI Susumu (40212641)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  KOBAYASHI Toshiyuki (80201490)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  本間 龍雄 (60016178)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 15.  KAWAMURA Tomomi (40348462)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  KASHIWARA Masaki (60027381)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  YAMADA Hiro-fumi (40192794)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YAMAGUCHI Manabu (60306503)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  白尾 恒吉 (50087011)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  GYOJA Akihiko (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  MIWA Tetsuji (10027386)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KUROKI Gen (10234593)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  OCHIAI Hiroyuki (90214163)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  SATSUMA Junkichi (70093242)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  柴岡 泰光 (40082797)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  本間 竜雄 (46016178)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  谷崎 俊之 (70142916)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  中島 俊樹 (60243193)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  中屋敷 厚 (10237456)
    # 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

URL: 

Are you sure that you want to connect your ORCID iD to this researcher?
* This action can be performed only by the researcher themselves.

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi