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KIMURA Isamu  木村 勇

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木村 勇  キムラ イサオ

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Researcher Number 40082820
Affiliation (based on the past Project Information) *help 2002 – 2005: 青山学院大学, 理工学部, 助手
1997: 青山学院大学, 理工学部, 助手
1996: 青山学院大学, 理工学部・数学教室, 助手
1995: 青山学院大学, 理工学部, 助手
1994: 青山学院大学, 理工学部・数学教室, 助手
1988: 青山学院大学, 理工学部, 助手
1986: 青山学院大学, 理工学部, 主管助手
Review Section/Research Field
Except Principal Investigator
Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords
Except Principal Investigator
Jackson integrals / ジャクソン積分 / 古典群 / ワイル群 / カロジェロ模型 / commuting differential operators / 可換微分作用素系 / Weyl groups / ヤング図形 / 低次元トポロジー … More / tree / 保型形式 / 不変式 / 楕円曲線 / 多倍精度整数計算 / 指標 / 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 / q-差分方程式 / 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 / Macdonald identity / Ramanujan / Young diagrams / Brauer centralizer alegebras / Spin groups / Classical groups / マクドナルドの恒等式 / ラマヌジャン / ブラウア中心化環 / スピン群 / 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 / 計算数学 / 幾何種数 / 代数曲面 / 力学系 / 可換微分作用素 / 複素多様体 / 手順序集合 / 群の既約表現 / Yang-図形 / 絡み目 / 結び目 / young図形 / 対称群 / 既約表現 / 複素夛様体 / 有向グラフ / マルコフ過程 / 複素構造 / 次元公式 / 一般型代数曲線 / 次元・公式 / 一般型代數曲面 / quivers / 不變式 / ヘッケ環 / 鏡映群 / ポアンカレ級數 / 橢圓曲線 / 多倍精度整數計算 Less
  • Research Projects

    (10 results)
  • Co-Researchers

    (12 People)
  •  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 Topics

    • 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
  •  Study of Representation theory and Combinatorics and their related topics

    • 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
  •  表現論,組み合せ論の研究

    • 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
      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
  •  代數幾何とその周辺の総合的研究

    • Principal Investigator
      INOUE Masahisa
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  組合せ論とその関連領域に関する研究

    • Principal Investigator
      本間 龍雄
    • Project Period (FY)
      1987 – 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
  •  確率論における組合せ論・代数幾何学の応用とその周辺

    • Principal Investigator
      白尾 恒吉
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Aoyama Gakuin University
  • 1.  KOIKE Kazuhiko (70146306)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 2.  IHARA Shinichiro (30012347)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  INOUE Masahisa (30082803)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  NAKANE Takashi (50082805)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  岩堀 信子 (10082744)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  TANIGUCHI Kenji (20306492)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  YANO Kouichi (60114691)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  ITOU Masahiko (30348461)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  KAWAMURA Tomomi (40348462)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  白尾 恒吉 (50087011)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  本間 龍雄 (60016178)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  SATSUMA Junkichi (70093242)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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