IKEDA Kaoru 池田薫

… Alternative Names

池田薫イケダカオル

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Researcher Number	40232178
Other IDs
External Links
Affiliation (Current)	2025: 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 / Global analysis / Global analysis / Geometry Except Principal Investigator Geometry / 解析学
Keywords	Principal Investigator 戸田格子 / 旗多様体 / Toda lattice / 等エネルギー面 / Radon transform / quantization / iso level set / フーリエ積分 / 等位集合 / ラドン変換 … More / 量子化 / Rieman-Hilbert decomposition / Bruhat decomposition / Lax operator / Flag manifold / Weyl群 / Brnhat分解 / リーマン・ヒルベルト分解 / Bruhat分解 / Lax行列 / 可積分系 / 葉層構造 / ゲージ理論 / Symplectic幾何 / 簡約リー群 / 既約ユニタリー表現 / Gauss分解 / 偏極 / ハイゼンベルグ代数 / quotient stacks / ユニタリー表現論 / シンプレクティック幾何学 / ハイゼンベルグ群 / 幾何学的量子化 / シンプレクティック多様体 / ユニタリー表現 / Kphierarchy / ラックス行列 / 量子化戸田格子 / 代数群 / Lie代数 / Moditied Classical Yay-Baxter方程式 / KP hierarchy / virasoro代数 / 無限次元Lie代数 / Modified Classical Yang-Baxter方程式 / Poisson構造 / 量子群 … More Except Principal Investigator stratification / de Rham cohomology / regular element / Lie algebra / confluence / de Rham theory / hypergeometric / special function / 国際情報交換 / 岩沢理論 / 国際研究者交流 / 非可換ゲージ理論 / シンプレクティック幾何学 / 変形量子化問題 / 超弦理論 / ジャーブ / 変形量子化 / 非可換幾何学 / 鞍部点法 / holonomic系 / conomology / homology / Airy関数 / 一般超幾何関数 / Grassmann多様体 / 岩澤理論 / 複素シンプレクティック幾何学 / ディラック構造 / 多国籍 / ベルギー：ベトナム：フランス：オーストラリア / ループ空間 / 幾何学 / シンプレくティック多様体 / 国際交流アメリカ / 非可換岩沢理論 / 一般幾何学 / T-双対性 / 離散幾何学 / 非可換多様体 / symplectic geometry / Dirac structure / deformation quantization / Parabolic geometry / Floer homology / Lie algebroid / 指数定理 / 非可換微分幾何学 / イギリス:フランス:ベルギー:中国:コロンビア / 量子コホモロジー / オーストラリア:アメリカ:イタリア / スペクトル理論 / 擬微分作用素 / regularization / 中国:スイス:アメリカ / ポアソン幾何学 / 量子化問題 Less

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)
  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] 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] 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] 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] 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 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. WATAMURA Satoshi (00201252)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. GUEST Martin (10295470)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. MAEDA Yoshiaki (40101076)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. MORIYOSHI Hitoshi (00239708)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KAMETANI Yukio (70253581)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. KURIHARA Masato (40211221)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. OMORI Hideki (20087018)

# of Collaborated Projects: 2 results

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8. FUKAYA Kenji (30165261)

# 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

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13. ISHII Ippei (90051929)

# of Collaborated Projects: 1 results

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14. MIYAZAKI Takuya (10301409)

# of Collaborated Projects: 1 results

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15. TAMURA Yozo (50171905)

# of Collaborated Projects: 1 results

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16. OHTA Katsuhiro (40213722)

# of Collaborated Projects: 1 results

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17. ATSUJI Atsushi (00221044)

# of Collaborated Projects: 1 results

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18. TOSE Nobuyuki (00183492)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. TATE Tatsuya (00317299)

# of Collaborated Projects: 1 results

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20. KONNO Hiroshi (20254138)

# of Collaborated Projects: 1 results

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21. KOHNO Toshitake (80144111)

# of Collaborated Projects: 1 results

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22. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 1 results

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23. MITSUMATSU Yoshihiko (70190725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. MIYAOKA Reiko (70108182)

# of Collaborated Projects: 1 results

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25. FUTAKI Akitp (90143247)

# of Collaborated Projects: 1 results

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26. MIZUTANI Tadayoshi (20080492)

# of Collaborated Projects: 1 results

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27. OHTA Hiroshi (50223839)

# of Collaborated Projects: 1 results

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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. KIMURA Hironobu (40161575)

# of Collaborated Projects: 1 results

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32. YAMADA Kotaro (10221657)

# of Collaborated Projects: 1 results

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33. OKA Yukimasa (50089140)

# of Collaborated Projects: 1 results

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34. KOHNO Mitsuhiko (30027370)

# of Collaborated Projects: 1 results

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35. YAMAKI Hiroyoshi (60028199)

# of Collaborated Projects: 1 results

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36. 勝良健史 (50513298)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 坂内健一 (90343201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 櫃田倍之 (50024237)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

IKEDA Kaoru 池田 薫

池田 薫 イケダ カオル

Research Projects

Research Products

Co-Researchers

A deformation of symplectic structures and its application for unitary representationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Perspectives for Quantum Differential Geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Joint eigenfunctions of the quantum Toda lattice and the quantum cohomology of the flag varietiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Rational solutions of Toda lattice parameterized by points of the cells other than the big one of flag variety.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

古典r行列のスペクトル分解と代数群Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Toward a unified theory special functions of several variables

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

普遍Grassmann多様体のSympletic構造の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Institution

[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)

Journal Title

Data Source

[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)

Journal Title

Data Source

[Journal Article] A generalization of the invariant formulas of the k-chop integrals2014

Author(s)

Journal Title

NAID

Data Source

[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)

Journal Title

Data Source

[Journal Article] The algebraic integrability of the quantum Toda lattice and the Radon tranformation2009

Author(s)

Journal Title

Data Source

[Journal Article] Thealgebraic integrability of the quantum Toda lattice and the Radon transform.2009

IKEDA Kaoru 池田薫

池田薫イケダカオル