KOIKE Kazuhiko 小池和彦

… Alternative Names

小池和彦コイケカズヒコ

Less

Researcher Number	70146306
Other IDs
External Links
Affiliation (Current)	2023: 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 / Basic analysis / Geometry / Global analysis
Keywords	Principal Investigator 古典群 / ヤング図形 / Weyl groups / ワイル群 / ヘッケ環 / 不変式 / 対称群 / Spin groups / スピン群 / 保型形式 … More / 楕円曲線 / 多倍精度整数計算 / 指標 / 計算数学 / 代数曲面 / 鏡映群 / 複素鏡映群 / classical groups / representation theor / combinatoics / algebra / 対称式 / 組み合せ論 / 表現論 / 組合せ論 / 代数学 / Macdonald identity / Ramanujan / Jackson integrals / Young diagrams / Brauer centralizer alegebras / Classical groups / マクドナルドの恒等式 / ラマヌジャン / ジャクソン積分 / ブラウア中心化環 / two-sided cells / Super Lie algebras algebras / dual pairs / Hecke algebras / symmetric groups / 両側セル / 超リー代数 / 双対対 / Computational mathematics / Geometric genus / Algebraic surface / Dynamical systems / commutative differential operators / Young diagram / Classical Groups / 普遍指標 / 計算数論 / 中心化群 / q-analog / 幾何種数 / 力学系 / 可換微分作用素 / 複素構造 / 次元公式 / 一般型代数曲線 / 次元・公式 / 旗多様体 / ロビンソンシューンステッド対応 / 整数論 / 複素曲面 / ロビンソン-シェーンステッド対応 / 量子群 … More Except Principal Investigator ヤング図形 / ジャクソン積分 / Robinson-Schensted対応 / 組合せ論 / 表現論 / 古典群 / Young図形 / Jackson integrals / Young diagrams / representation theory / ロビンソン・シェンステッド対応 / カロジェロ模型 / commuting differential operators / 可換微分作用素系 / alternating sign matrix / Brauer diagrams / classical groups / combinatorics / quantum groups / q-差分方程式 / 半順序集合 / ジョルダン標準形 / 指標 / 量子群 / ヘッケ環 / quivers / テンソル積 / 古典群の表現 / invariant polynomials of type F4 / Vandermonde-type determinant / connection formula / basic hypergeometric series / q-difference system / Weyl group / ホロノミックq-差分方程式 / 対称式 / 複素簡約型リー群 / Kazhdan-Lusztig多項式 / ルート系 / F4型ワイル群不変式 / ファンデルモンド型行列式 / 接続公式 / q超幾何関数 / ワイル群 / Calogero models / ワイル群の不変式 / Calogero model / elliptic theta functions / asymptotic behavior / Weyl group symmetry / 楕円データ関数 / カロジェロモデル / 楕円テータ関数 / 漸近展開 / ワイル群対称性 / Takagi function / dynamical systems / Lyapunov index / 高木関数 / 力学系 / リアプノフ指数 / involutions / partially ordered sets / the Springer variety / the Robinson-Schensted correspondence / Steinberg variety / tableau / Brauer diagram / Springer varieyy / Brauer-diagram / involution / Springer variety / KL conjecture / RS correspondence / Schur functions / representations / crystal base / 小行列式の和公式 / D加群 / Kazdan-Lusztig予想 / SchurのQ-関数 / Schur関数 / 量子群の表現 / nilpotent matrices / Robinson-Schensted correspondence / tableaux / combinatiorics / Well表現 / 小行列式 / 分岐則 / ブラウアー図形 / べき零行列 / グラウアー図形 / 盤 / solvable models / 対称空間 / 特殊凾数 / 量子郡 / 代数解析 / アフィンリー環 / 組み合せ論 / 組み合わせ論 / 可解模型 / 絡み目 / 既約指標 / 群の既約表現 / Calogero 模型 / q-超幾何関数 / Whittaker模型 / Calogero模型 / 可換微分作用素 / 冪零行列 / デュアル・ペア / 冪等元 / 対称群 / 代数多様体 / 既約成分 / シンプレクティック群 / ロビンソン・シャンステッド対応 / リトルウッド・リチャードソン則 / 旗多様体 / Jordan標準形 / ベキ零行列 / Littlewood-Richardson規則 / 全単射 / シューア関数 / 一般型代數曲面 / 不變式 / 鏡映群 / ポアンカレ級數 / 橢圓曲線 / 多倍精度整數計算 / ザイフェルト膜系 / 3次元ポアンカレ予想 / 楕円モジュラ曲面 / 一般型代数曲面 / マーナガン中山の公式 / 複素鏡映群 / 楕円曲線 / 多倍精度整数計算 / ウェイトの重複変 / 不等式環 / コクセタ-図形 / 群の表現 / 種数 / 写像度 / Poincave予想 / 既約表現 / ヤング-ダイアグラム / ブラウン運動 / 非線型熱方程式 Less

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)
  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)
  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)
  M.Ito, K.Koike
- Journal Title
  
  Journal of Algebra 302
- 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)
  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] 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
[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)
  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)
  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

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

KOIKE Kazuhiko 小池 和彦

小池 和彦 コイケ カズヒコ

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on representation theory of the classical groups and their related combinatoricsPrincipal 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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation Theory, Combinatorics and Related TopicsPrincipal 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

REPRESENTATION THEORY AND COMBINATORICS AND RELATED TOPICSPrincipal 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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Representation theory and Combinatorics and their related topicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

KOIKE Kazuhiko 小池和彦

小池和彦コイケカズヒコ