KOIKE Kazuhiko 小池和彦

… Alternative Names

Researcher Number	70146306
External Links
Affiliation (Current)	2019: 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 / Geometry / Basic analysis / Global analysis
Keywords	Principal Investigator 古典群 / ヤング図形 / ヘッケ環 / Weyl groups / ワイル群 / 不変式 / 対称群 / 多倍精度整数計算 / スピン群 / 鏡映群 … More Except Principal Investigator ヤング図形 / ジャクソン積分 / 表現論 / Robinson-Schensted対応 / 組合せ論 / 古典群 / Young図形 / representation theory / ロビンソン・シェンステッド対応 / Young diagrams / Jackson integrals / 可換微分作用素系 / quantum groups / 指標 / ジョルダン標準形 / q-差分方程式 / combinatorics / commuting differential operators / classical groups / quivers / 半順序集合 / 古典群の表現 / ヘッケ環 / Brauer diagrams / 量子群 / テンソル積 / カロジェロ模型 / alternating sign matrix / 楕円データ関数 / 対称式 / q-超幾何関数 / アフィンリー環 / Poincave予想 / 冪等元 / 全単射 / 代数解析 / elliptic theta functions / 組み合わせ論 / 群の表現 / Schur関数 / Calogero模型 / 絡み目 / Brauer-diagram / ルート系 / コクセタ-図形 / Weyl group symmetry / involutions / Takagi function / リトルウッド・リチャードソン則 / Calogero models / ポアンカレ級數 / SchurのQ-関数 / crystal base / 既約成分 / 小行列式の和公式 / 組み合せ論 / ブラウアー図形 / 冪零行列 / involution / Springer variety / 一般型代數曲面 / 種数 / combinatiorics / 不等式環 / partially ordered sets / connection formula / 可解模型 / 一般型代数曲面 / べき零行列 / Kazdan-Lusztig予想 / 旗多様体 / 橢圓曲線 / リアプノフ指数 / 特殊凾数 / Springer varieyy / 複素簡約型リー群 / 複素鏡映群 / 対称群 / 対称空間 / the Robinson-Schensted correspondence / ホロノミックq-差分方程式 / 分岐則 / q-difference system / 既約表現 / ファンデルモンド型行列式 / 量子郡 / asymptotic behavior / the Springer variety / Jordan標準形 / グラウアー図形 / ワイル群 / D加群 / 盤 / Well表現 / 漸近展開 / 量子群の表現 / 可換微分作用素 / ロビンソン・シャンステッド対応 / Kazhdan-Lusztig多項式 / tableaux / Weyl group / ベキ零行列 / 鏡映群 / 小行列式 / basic hypergeometric series / solvable models / Littlewood-Richardson規則 / 力学系 / 高木関数 / Whittaker模型 / Calogero 模型 / ワイル群対称性 / マーナガン中山の公式 / 群の既約表現 / Lyapunov index / KL conjecture / ザイフェルト膜系 / 楕円曲線 / Brauer diagram / デュアル・ペア / 写像度 / q超幾何関数 / 非線型熱方程式 / シューア関数 / dynamical systems / 多倍精度整数計算 / ヤング-ダイアグラム / 不變式 / 3次元ポアンカレ予想 / 代数多様体 / Steinberg variety / nilpotent matrices / シンプレクティック群 / ウェイトの重複変 / tableau / 楕円テータ関数 / 多倍精度整數計算 / カロジェロモデル / invariant polynomials of type F4 / Vandermonde-type determinant / RS correspondence / 接続公式 / Schur functions / 楕円モジュラ曲面 / ブラウン運動 / representations / Robinson-Schensted correspondence / F4型ワイル群不変式 / ワイル群の不変式 / Calogero model / 既約指標 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

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KOIKE Kazuhiko 小池和彦

小池和彦コイケカズヒコ