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IKEDA Kaoru  池田 薫

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池田 薫  イケダ カオル

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Researcher Number 40232178
Other IDs
External Links
Affiliation (Current) 2020: 慶應義塾大学, 経済学部(日吉), 教授
Affiliation (based on the past Project Information) *help 2016 – 2018: 慶應義塾大学, 経済学部(日吉), 教授
2011 – 2015: 慶應義塾大学, 経済学部, 教授
2009: 慶應義塾大学, 理工学部, 教授
2008 – 2009: 慶應義塾大学, 経済学部, 教授
2004 – 2005: 慶應義塾大学, 経済学部, 教授 … More
2002: 慶應義塾大学, 経済学部, 助教授
2002: Keio University, Faculty of Economy Professor, 経済学部, 教授
2001: 熊本大学, 理学部, 助教授
1998: 熊本大, 理学部, 助教授
1996 – 1997: Kumamoto University, Department of Mathematics, Associate Professor, 理学部, 助教授
1995: 小樽商科大学, 商学部, 助教授
1993: 小樽商科大学, 商学部, 助教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Geometry / Global analysis / Global analysis
Except Principal Investigator
Geometry / 解析学
Keywords
Principal Investigator
戸田格子 / 旗多様体 / 等エネルギー面 / Toda lattice / 量子群 / Poisson構造 / Modified Classical Yang-Baxter方程式 / 無限次元Lie代数 / virasoro代数 / KP hierarchy … More / Moditied Classical Yay-Baxter方程式 / Lie代数 / 代数群 / 量子化戸田格子 / ラックス行列 / Kphierarchy / ユニタリー表現 / シンプレクティック多様体 / 幾何学的量子化 / ハイゼンベルグ群 / シンプレクティック幾何学 / ユニタリー表現論 / quotient stacks / ハイゼンベルグ代数 / 偏極 / Gauss分解 / 既約ユニタリー表現 / 簡約リー群 / Symplectic幾何 / ゲージ理論 / 葉層構造 / 可積分系 / Lax行列 / Bruhat分解 / リーマン・ヒルベルト分解 / Brnhat分解 / Weyl群 / Flag manifold / Lax operator / Bruhat decomposition / Rieman-Hilbert decomposition / 量子化 / ラドン変換 / 等位集合 / フーリエ積分 / iso level set / quantization / Radon transform … More
Except Principal Investigator
非可換幾何学 / 変形量子化 / ジャーブ / 超弦理論 / 変形量子化問題 / シンプレクティック幾何学 / 非可換ゲージ理論 / 国際研究者交流 / 岩沢理論 / 国際情報交換 / special function / hypergeometric / de Rham theory / confluence / Lie algebra / regular element / de Rham cohomology / stratification / 量子化問題 / ポアソン幾何学 / 中国:スイス:アメリカ / regularization / 擬微分作用素 / スペクトル理論 / オーストラリア:アメリカ:イタリア / 量子コホモロジー / イギリス:フランス:ベルギー:中国:コロンビア / 非可換微分幾何学 / 指数定理 / Lie algebroid / Floer homology / Parabolic geometry / deformation quantization / Dirac structure / symplectic geometry / 非可換多様体 / 離散幾何学 / T-双対性 / 一般幾何学 / 非可換岩沢理論 / 国際交流アメリカ / シンプレくティック多様体 / 幾何学 / ループ空間 / ベルギー:ベトナム:フランス:オーストラリア / 多国籍 / ディラック構造 / 複素シンプレクティック幾何学 / 岩澤理論 / Grassmann多様体 / 一般超幾何関数 / Airy関数 / homology / conomology / holonomic系 / 鞍部点法 Less
  • Research Projects

    (9 results)
  • Research Products

    (14 results)
  • Co-Researchers

    (39 People)
  •  A deformation of symplectic structures and its application for unitary representationsPrincipal Investigator

    • Principal Investigator
      IKEDA Kaoru
    • Project Period (FY)
      2013 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Perspectives for Quantum Differential Geometry

    • Principal Investigator
      Maeda Yoshiaki
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
      Keio University
  •  Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Joint eigenfunctions of the quantum Toda lattice and the quantum cohomology of the flag varietiesPrincipal Investigator

    • Principal Investigator
      IKEDA Kaoru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  Rational solutions of Toda lattice parameterized by points of the cells other than the big one of flag variety.Principal Investigator

    • Principal Investigator
      IKEDA Kaoru
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Keio University
      Kumamoto University
  •  古典r行列のスペクトル分解と代数群Principal Investigator

    • Principal Investigator
      池田 薫
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Kumamoto University
  •  Toward a unified theory special functions of several variables

    • Principal Investigator
      KIMURA Hironobu
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Department of Mathematics, Kumamoto University
  •  普遍Grassmann多様体のSympletic構造の研究Principal Investigator

    • Principal Investigator
      池田 薫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Otaru University of Commerce
  •  量子群の対称性を利用した非線型完全積分可能系の量子化に関する研究Principal Investigator

    • Principal Investigator
      池田 薫
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Otaru University of Commerce

All 2018 2017 2016 2014 2011 2009 2008 2004 Other

All Journal Article Presentation

  • [Journal Article] Splitで連結な簡約Lie群上の戸田格子の特異点解消について2018

    • Author(s)
      Kaoru Ikeda
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2077 Pages: 70-78

    • Data Source
      KAKENHI-PROJECT-25400073
  • [Journal Article] Splitで連結な簡約Lie群上の戸田格子の特異点解消について2018

    • Author(s)
      池田 薫
    • Journal Title

      京都大学数理解析研究所講究録「表現論とその周辺の広がり」に掲載決定

      Volume: 印刷中

    • Data Source
      KAKENHI-PROJECT-25400073
  • [Journal Article] A generalization of the invariant formulas of the k-chop integrals2014

    • Author(s)
      池田 薫
    • Journal Title

      Kumamoto journal of mathematics

      Volume: 27 Pages: 1-4

    • NAID

      110009930177

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400073
  • [Journal Article] 実多様体GL_n(R)/Pに関するシンプレクティック構造の分類と戸田格子のHamiltonian flow,"組み合わせ論的表現論とその応用"2011

    • Author(s)
      Kaoru Ikeda
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1738 Pages: 69-82

    • Data Source
      KAKENHI-PROJECT-23340018
  • [Journal Article] Thealgebraic integrability of the quantum Toda lattice and the Radon transform.2009

    • Author(s)
      Ikeda, Kaoru
    • Journal Title

      J. Fourier Anal. Appl. 15, no.1

      Pages: 80-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] The algebraic integrability of the quantum Toda lattice and the Radon tranformation2009

    • Author(s)
      Kaoru Ikeda
    • Journal Title

      Jour.Fourier Aal.Appl 15

      Pages: 80-100

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] The monoidal transformation by Painleve divisor and resolution of the poles of the Toda lattice2008

    • Author(s)
      Kaoru, Ikeda
    • Journal Title

      J. Math. Pures Appl. 90

      Pages: 329-377

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] The monoidal transformation by Painleve divisor and resolution of the poles of the Toda lattice.2008

    • Author(s)
      Ikeda, Kaoru
    • Journal Title

      J. Math. Pures Appl (9)90,no.4

      Pages: 329-337

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] 量子化戸田格子の幾何学2004

    • Author(s)
      池田 薫
    • Journal Title

      京都大学数理解析研究所講究録 1382

      Pages: 37-58

    • Data Source
      KAKENHI-PROJECT-16540203
  • [Journal Article] The Toda flows preserving small cells of the flag variety G/B and Kazhdan's x_O grading

    • Author(s)
      Kaoru Ikeda
    • Journal Title

      Journal of Geometry and Physics (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540203
  • [Journal Article] The Toda flows preserving small cells of the flag variety G/B and Katzdan's x_0 grading

    • Author(s)
      Kaoru Ikeda
    • Journal Title

      Journal of Geometry and Physics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540203
  • [Presentation] 半単純Lie群のガウス分解と旗多様体の基本群について2017

    • Author(s)
      池田 薫
    • Organizer
      日本数学会幾何学分科会
    • Place of Presentation
      首都大学東京(八王子市)
    • Data Source
      KAKENHI-PROJECT-25400073
  • [Presentation] 戸田格子の作用ー角変数と射影的旗多様体の偏極2016

    • Author(s)
      池田 薫
    • Organizer
      「新しい幾何学に向かって-2」
    • Place of Presentation
      東京理科大学森戸記念館(東京都新宿区)
    • Year and Date
      2016-02-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400073
  • [Presentation] Symplectic structures of projective flag manifold and the unitary representations2014

    • Author(s)
      池田 薫
    • Organizer
      Physical Mathematics Seminar
    • Place of Presentation
      Harvard University(米国)
    • Year and Date
      2014-11-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400073
  • 1.  GUEST Martin (10295470)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  MAEDA Yoshiaki (40101076)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  MORIYOSHI Hitoshi (00239708)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  KAMETANI Yukio (70253581)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  OMORI Hideki (20087018)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  FUKAYA Kenji (30165261)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  WATAMURA Satoshi (00204232)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  MIKAMI Kentaro (70006592)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  ONO Kaoru (20204232)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 4 results
  • 11.  MATSUO Yuyaka (50202320)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  SHIMOMURA Shun (00154328)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  ISHII Ippei (90051929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  TAMURA Yozo (50171905)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  OHTA Katsuhiro (40213722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  ATSUJI Atsushi (00221044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  TOSE Nobuyuki (00183492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  TATE Tatsuya (00317299)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KONNO Hiroshi (20254138)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  KOHNO Toshitake (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  MITSUMATSU Yoshihiko (70190725)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  FUTAKI Akitp (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  MIZUTANI Tadayoshi (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  OHTA Hiroshi (50223839)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  Sako Akifumi (00424200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  Izeki Hiroyasu (90244409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  Kotani Motoko (50230024)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  Watamura Satoshi (00201252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  KIMURA Hironobu (40161575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  YAMADA Kotaro (10221657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  OKA Yukimasa (50089140)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  KOHNO Mitsuhiko (30027370)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  YAMAKI Hiroyoshi (60028199)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  勝良 健史 (50513298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  坂内 健一 (90343201)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  櫃田 倍之 (50024237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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