UMEDA Toru 梅田亨

… Alternative Names

梅田享ウメダトオル

梅田亨ウメダトオル

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Researcher Number	00176728
Other IDs
Affiliation (Current)	2025: 大阪公立大学, 数学研究所, 特別研究員
Affiliation (based on the past Project Information) *help	2016: 京都大学, 理学研究科, 准教授 2011 – 2015: 京都大学, 理学(系)研究科(研究院), 准教授 2009 – 2011: 京都大学, 大学院・理学研究科, 准教授 2007: Kyoto Univ, Graduate School of Science, Associate Professor 2006: Kyoto University, Department of Mathematics, Associate Professor, 大学院理学研究科, 助教授 … More 1995 – 2006: Kyoto Univ., Graduate School of Science, Associate Professor, 大学院・理学研究科, 助教授 1995: Kyoto Univ., Graduate School of Science Associate Professor, 大学院理学研究科, 助教授 1993 – 1994: 京都大学, 理学部, 助教授 1992: 京都大学, 理学部, 助手 1990: 京都大学, 理学部, 助手 1987: 京都大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis Except Principal Investigator 解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Algebra / Basic analysis / 代数学・幾何学
Keywords	Principal Investigator 不変式論 / dual pair / 普遍包絡環 / 五角数定理 / Capelli恒等式 / 超幾何函数 / hypergeometric functions / invariant theory / 特殊函数 / 不変式 … More / 表現論 / 双対性 / トレース / 不変微分作用素 / 量子群 / polynomials of binomial type / universal enveloping algebra / duality / Capelli identities / spacial functions / 対称式 / Dual pair / 二項型多項式 / 超幾何 / Pfaphan / determinant / Copelli identity / invariant differential operations / representation theory / special functions / Wronski関係式 / パーマネント / 球函数 / リー環 / 対称群 / Poincare Birkhoff-Wittの定理 / 不偏包絡環 / Lie環 / 群行列式 / 群の表現 / パフィアン / 行列式 / 高階微分 / 留数 / 無限次元 / 一般座標変換 / Capelli 恒等式 / Bell 多項式 / Capelli 型恒等式 / 超幾何級数 / q-analogue / 跡等式 / アノマリー / 和公式 / 結合法則 / 五画数定理 / Spherical harmonics … More Except Principal Investigator 量子群 / 保型形式 / 表現論 / 周期 / L-function / L函数 / 楕円型量子群 / 可解格子模型 / Capelli恒等式 / ジョルダン代数 / 調和解析 / ジーゲル領域 / 等質錐 / Automorphic form / CM-period / Riemann zeta function / q-analogue / zeta regularized product / リーマンゼータ関数 / q-類似 / 非可換調和振動子 / スペクトルゼータ関数 / セルバーグゼータ関数 / 跡公式 / ゼータ正規化積 / 不変微分作用素 / Brownian snake / 微分同相群 / Berezin変換 / ループ空間 / dual pair / 頂点作用素 / 相関関数 / L函数の特殊値 / 非可換調和解析 / 有界等質領域 / ケーリー変換 / ラプラシアン / ポアッソン核 / 分裂可解リー群 / 力学系 / 解空間の構造 / 保型表現 / 無限対称群 / Period / Gross-Prasad予想 / Absolute CM-period / 志村・谷山予想 / モチーフ / Ap'ery numbers / modular forms / elliptic curves / spectral zeta function / non-commutative harmonic oscillators / パフィアンの和公式 / ホイン微分方程式 / 特殊値 / リーマンのゼータ関数 / アペリ数 / 楕円曲線 / Jordan algebra / tube domain / symmetric cone / homogenous cone / normal j-algebra / pseudoinverse map / Cayley transform / Siegel domain / 対称錘 / 等質錘 / 管状領域 / 対称錐 / 正規j代数 / 擬逆元写像 / zeros of L-functions / モティーフ / 零点 / determinant expression / non-commutative harmonicoscillator / specter zeta function / Selberg zeta function / trace formula / ホロノミー / Pfaffian / セルバーグ・ゼータ関数 / パフィアン / カシミール効果 / 局所対称空間 / 関数等式 / オイラー定義 / セルバーグゼータ / リーマンゼータ / 行列式表示 / matrix models / invariant theory / conformal field theory / deformed Virasoro algebras / free field representation / solvable lattice models / elliptic quantum groups / 変形ヴィラソロ代数 / 形状因子 / 自由場表示 / 行列模型 / 共形場理論 / 変形Virasoro代数 / 不変式論 / representations of semisimple Lie groups / representations of algebras / representations of groups / 無限次元均質空間上 / 量子情報理論 / 確率過程 / 数論 / 無限次元環の表現 / 無限次元群の表現論 / 半単純リー群の表現 / 環の表現 / 群の表現 / Fluid Dynamical Equations / Quantum Group of Elliptic Type / Operator Theory / Equations in Quantum Mechanics / Bifurcation Th'y / Theory of Dynamical Systems / Structure of Solution Space / Nonlinear Part.Diff.Eq's / 解の特異性の伝播 / 量子力学の方程式系 / 流体方程式系 / 作用素論 / 量子力学の方程式 / 分岐理論 / 力学系理論 / 非線形偏微分方程式系 / lattice spin system / complex dynamics of entirefunctions / bifurcation problem in dynamical system / bifurcations for equations in fluid dynamics / innovation problem / measure valued branching processes / Sobolev spaces on Wiener space / 分岐問題の計算機支援証明法 / Sobolev空間 / Wiener汎関数 / Wiener空間 / Malliavin解析 / Pauli作用素のスペクトル / 熱対流問題 / 熱核の近似スキーム / Euler-Maruyama近似 / 確率微分方程式 / Stochastic area / Malliavrin解析 / φ^4-格子場模型 / 無限次元Hodge-Kodaira型作用素 / マルコフ半群の比較定理 / 格子スピン系 / 整関数力学系の変形理論 / 力学系の分岐問題 / 流体方程式の解空間の分岐 / innovation問題 / 測度値分枝過程 / ウィナー汎関数のソボレフ空間 / Dual Pair / Capelli Identity / Multiplicity-free Action / Diffeomorphism Group / Berezin Fransformation / Jordan Algebra / Quantum Group / Lie Group / Harish-Chandra加群 / グラスマン多様体 / 包絡環 / 重複フリー作用 / Berezin 変換 / Capelli等式 / 重複度フリー作用 / リー群 / period of an abelian variety / Lie group / モジュラー形式 / semisimple Lie群 / アーベル多様体の周期 / Lie群 / loop group / moduli space / q-difference operator / Painleve equation / matrix integral / quantum group / correlations / lattice model / アフィン・ルート系 / Jordan代数 / Bott周期性 / 不変式 / 無限次元代数 / KP階層 / 既約ユニタリ表現 / アーベル多様体 / ゲージ群 / qKZ方程式 / ループ群 / モジュライ空間 / q差分作用素 / パンルベ方程式 / 行列積分 / 格子模型 / 離散群のユニタリ表現 / LIE SUPER ALGEBRA のユニタリ表現 / 群cohomology / ヒルベルトモジュラー形式 / 非合同部分群 / 例外的零点 / セルバーグのゼータ函数 / cohomology群 / 志村-谷山予想 / 等質開凸錐 / 幾何学 / 関数論 / 関数解析学 / 解析学 / 合同シンポジウム / 函数解析学 / 実函数論 / ベレジン変換 / ジーケル領域 / 散乱理論 / 初期値問題 / Dirac 作用素 / カオス的アトラクター / 分岐問題 / 非線形偏微分方程式 / 差分方程式 / 相関函数 / vertex operators / 保型L函数 / 既約表現 / 環積 / ユニタリ表現 / 離散群 Less

Study on Renormalization as Invariant Theory under Infinite-dimensional GroupsPrincipal Investigator
- Principal Investigator
  
  UMEDA Toru
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Unified viewpoint for hypergeometric functions and the pentagonal number theorem based on representation theoryPrincipal Investigator
- Principal Investigator
  
  UMEDA Toru
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Research on the derivative of L-functions and automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Geometric Harmonic Analysis on Homogeneous Cones and Homogeneous Siegel Domains
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
アノマリーとしての五角数定理の函数解析的研究Principal Investigator
- Principal Investigator
  
  梅田亨
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Research on periods, L-functions and automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Representation Theory and Duality associated with Non-commutative Special FunctionsPrincipal Investigator
- Principal Investigator
  
  UMEDA Toru
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study of zeta functions and duality - "infinite sum=infinite product" based on the trace formulas viewpoint
- Principal Investigator
  
  WAKAYAMA Masato
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERCITY
調和解析研究グループの構築と共同研究の企画
- Principal Investigator
  
  河添健
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Geometric harmonic analysis on homogeneous Siegel domains
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
  Kyoto University
Research on special values and zeros of L-funcions and on automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
可解リー群上の調和解析の新展開
- Principal Investigator
  
  野村隆昭
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study of dualities - "infinite sum = infinite product" and representations from the trace formulas viewpoint
- Principal Investigator
  
  WAKAYAMA Masato
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Study of special functions based on representation and invariant theoriesPrincipal Investigator
- Principal Investigator
  
  UMEDA Toru
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Solvable Lattice Models and Elliptic Quantum Groups
- Principal Investigator
  
  JIMBO Michio
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
Studies on the theory of representations of groups and algebras
- Principal Investigator
  
  HIRAI Takeshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
Applied analysis of differential equations in math.sci.
- Principal Investigator
  
  NISHIDA Takaaki
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
数理科学の微分方程式の解析的研究
- Principal Investigator
  
  NISHIDA Takaaki
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Research on random phenomena by the methods of modern mathematics
- Principal Investigator
  
  WATANABE Shinzo
- Project Period (FY)
  1995 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
量子群対称性に基づく不変式論Principal Investigator
- Principal Investigator
  
  梅田亨
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
Research on automorphic representations
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
Analytic and geometric studies of group representations and their applications
- Principal Investigator
  
  NOMURA Takaaki
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYOTO UNIVERSITY
Structure and symmetries of integrable systems
- Principal Investigator
  
  JIMBO Michio
- Project Period (FY)
  1993 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
保型表現の研究
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
量子群の表現に現われる函数方程式
- Principal Investigator
  
  JIMBO Michio
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
無限離散群の構造と表現の研究
- Principal Investigator
  
  HIRAI Takeshi
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Lie superalgebraおよびLie群の表現の総合的研究
- Principal Investigator
  
  平井武
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University

All 2017 2016 2015 2013 2012 2010 2009 2008 2007 2006 Other

All Journal Article Presentation Book

[Book] 徹底入門解析学2017
- Author(s)
  梅田亨
- Total Pages
  267
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-26610022
[Book] 多変数超幾何函数2016
- Author(s)
  吉沢尚明・野海正俊・梅田亨・若山正人
- Total Pages
  133
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-26610022
[Book] 代数の考え方2010
- Author(s)
  梅田亨
- Total Pages
  222
- Publisher
  放送大学教育振興会
- Data Source
  KAKENHI-PROJECT-21540014
[Book] Capelli恒等式の新局面2006
- Author(s)
  梅田亨(編)
- Total Pages
  137
- Publisher
  数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] Remarks on the Capelli identities for reducible modules2016
- Author(s)
  T. Umeda
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26610022
[Journal Article] sl_2 の三項定理とその応用2013
- Author(s)
  梅田亨
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1825
- Data Source
  KAKENHI-PROJECT-23654050
[Journal Article] sl_2の三項定理とその応用2013
- Author(s)
  梅田亨
- Journal Title
  
  数理研講究録 {1825}(2013)"表現論と非可換調和解析の展望"
  
  Pages: 1-25
- Data Source
  KAKENHI-PROJECT-23654050
[Journal Article] 誘導表現の一般化について2012
- Author(s)
  梅田亨
- Journal Title
  
  表現論シンポジウム講演集 2012鹿児島
  
  Pages: 7-17
- NAID
  130008005002
- Data Source
  KAKENHI-PROJECT-23654050
[Journal Article] 誘導表現の一般化について2012
- Author(s)
  梅田亨
- Journal Title
  
  表現論シンポジウム講演集
  
  Volume: 平成24年度
- NAID
  130008005002
- Data Source
  KAKENHI-PROJECT-23654050
[Journal Article] 非可換不変式論としてのCapelli型恒等式2009
- Author(s)
  梅田亨
- Journal Title
  
  表現論シンポジウム講演集
  
  Pages: 108-136
- NAID
  130008004919
- Data Source
  KAKENHI-PROJECT-21540014
[Journal Article] On the proof of teh Capelli identities2008
- Author(s)
  T., Umeda
- Journal Title
  
  Funkciaj Ekvacioj 51
  
  Pages: 1-15
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] On the proof of the Capelli identities2008
- Author(s)
  Toru Umeda
- Journal Title
  
  Funkcial. Ekvac. 51
  
  Pages: 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] On the proof of the Capelli identies2008
- Author(s)
  T. Umeda
- Journal Title
  
  Funkcialaj Ekvacioj 51
  
  Pages: 1-15
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] On the proof of the Capelli identities2008
- Author(s)
  T. Umeda
- Journal Title
  
  Funccialaj Ekvaciou 51
  
  Pages: 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] On the proofs of the Capelli identities2008
- Author(s)
  Toru Umeda
- Journal Title
  
  Funkc. Ekvac. 51
  
  Pages: 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] On the proof of the Capelli identities2007
- Author(s)
  T.Umeda
- Journal Title
  
  Funkcialaj Ekv. (未定)(掲載決定)
- Data Source
  KAKENHI-PROJECT-18340039
[Journal Article] On the proof of the Capelli identities2007
- Author(s)
  T.Umeda
- Journal Title
  
  Funkcialaj Ekvacioj 50(to appear)
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] On the proof of the Capelli identities2007
- Author(s)
  T.Umeda
- Journal Title
  
  Funkcialaj Ekvacioj 50(to appear)
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] 跡等式としての五角数定理2006
- Author(s)
  梅田亨
- Journal Title
  
  数理解析研究所講究録 (To appear)
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] The Capelli identities from new aspects2006
- Author(s)
  T., Umeda
- Journal Title
  
  RIMS
  
  Pages: 137-137
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340039
[Journal Article] 不変式論と非可換特殊多項式2006
- Author(s)
  梅田亨
- Journal Title
  
  Oka Symposium講義録 5
  
  Pages: 17-49
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] 跡等式としての五角数定理2006
- Author(s)
  梅田亨
- Journal Title
  
  数理解析研究所講究録 1498
  
  Pages: 88-102
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] Capelli恒等式をめぐる幾つかの問題2006
- Author(s)
  梅田亨
- Journal Title
  
  数理解析研究所講究録 1508
  
  Pages: 1-11
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] 跡等式としての五角数定理2006
- Author(s)
  梅田亨
- Journal Title
  
  数理解析研究所講究録 (To appear)
- Data Source
  KAKENHI-PROJECT-16654027
[Journal Article] On the proofs of the Capelli identities
- Author(s)
  T.Umeda
- Journal Title
  
  Funkcialaj Ekvacioj (出版決定)
- Data Source
  KAKENHI-PROJECT-16340006
[Presentation] 二項係数について2017
- Author(s)
  梅田亨
- Organizer
  特殊函数と双対性
- Place of Presentation
  九州大学
- Year and Date
  2017-02-17
- Data Source
  KAKENHI-PROJECT-26610022
[Presentation] 普遍包絡環に関する注意2017
- Author(s)
  梅田亨
- Organizer
  特殊函数と双対性
- Place of Presentation
  九州大学
- Year and Date
  2017-02-17
- Data Source
  KAKENHI-PROJECT-26610022
[Presentation] Bell 多項式と微分作用素2015
- Author(s)
  T. Umeda
- Organizer
  不変式と双対性
- Place of Presentation
  鹿児島大学理学部
- Year and Date
  2015-09-06
- Invited
- Data Source
  KAKENHI-PROJECT-26610022
[Presentation] 単位球の自己同型と Clifford Algebra2013
- Author(s)
  梅田亨
- Organizer
  表現論ワークショップ 2013
- Place of Presentation
  京都大学理学研究科セミナーハウス
- Invited
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] 誘導表現の一般化についてI,II,III2013
- Author(s)
  梅田亨
- Organizer
  九州大学表現論セミナー
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] 誘導表現の一般化について I, II, III2013
- Author(s)
  梅田亨
- Organizer
  九州大学表現論セミナー
- Place of Presentation
  九州大学マスフォアインダストリー研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] Poincare-Birkhoff-Witt の定理の群論的証明2013
- Author(s)
  梅田亨
- Organizer
  九州大学表現論セミナー
- Place of Presentation
  九州大学伊都キャンパス中セミナー室1
- Year and Date
  2013-03-08
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] 単位球の自己同型と Clifford Algebra2013
- Author(s)
  梅田亨
- Organizer
  表現論ワークショップ2013 (野村隆昭氏還暦記念)
- Place of Presentation
  京都大学理学研究科セミナーハウス
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] sl_2 の三項定理とその応用2012
- Author(s)
  梅田亨
- Organizer
  数理研研究集会"表現論と非可換調和解析の展望"
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] 誘導表現の一般化について2012
- Author(s)
  梅田亨
- Organizer
  表現論シンポジウム
- Place of Presentation
  鹿児島
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] 誘導表現の一般化について2012
- Author(s)
  梅田亨
- Organizer
  2012年度表現論シンポジウム
- Place of Presentation
  鹿児島鹿児島市
- Invited
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] 直交Lie 環の冪零元の共軛性について2012
- Author(s)
  梅田亨
- Organizer
  鹿児島表現論セミナー(平井武先生喜寿記念)
- Year and Date
  2012-12-07
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] sl_2の三項定理とその応用2012
- Author(s)
  梅田亨
- Organizer
  数理解析研究所研究集会「表現論と非可換調和解析の展望」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] The First Fundamental Theorem and its Applications, I, II, III2010
- Author(s)
  Toru Umeda
- Organizer
  Workshop on invariant theory and related topics
- Place of Presentation
  仁荷(Inha)大学 (韓国)
- Data Source
  KAKENHI-PROJECT-21540014
[Presentation] The first fundamental theorem and its applications, Workshop2010
- Author(s)
  Toru Umeda
- Organizer
  Invariant Theory and Related Topics
- Place of Presentation
  Inha Univ., (Korea)
- Data Source
  KAKENHI-PROJECT-18340039
[Presentation] The first fundamental theorem and its applications, I, II, III2010
- Author(s)
  Toru Umeda
- Organizer
  Workshop on invariant theory and related topics
- Place of Presentation
  Inha(仁荷)大学
- Data Source
  KAKENHI-PROJECT-21540014
[Presentation] 不変式論と非可換特殊多項式2006
- Author(s)
  梅田亨
- Organizer
  Fifth Oka Symposium
- Place of Presentation
  奈良女子大学理学部
- Year and Date
  2006-03-18
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340039
[Presentation] Invariant Theory and Non-commutative Special Polynomials2006
- Author(s)
  T., Umeda
- Organizer
  Fifth Oka Symposium
- Place of Presentation
  Department of Mathematics, Nara Women's University
- Year and Date
  2006-05-18
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340039
[Presentation] Poincare-Birkhoff-Witt の定理の群論的証明
- Author(s)
  梅田亨
- Organizer
  九州大学表現論セミナー
- Place of Presentation
  九州大学マスフォアインダストリー研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23654050
[Presentation] Remarks on the Capelli identities for reducible modules
- Author(s)
  梅田亨
- Organizer
  数理研研究集会``Representation Theory, special function and Painleve equation"
- Place of Presentation
  京大数理解析研究所
- Year and Date
  2015-03-03 – 2015-03-06
- Invited
- Data Source
  KAKENHI-PROJECT-26610022
[Presentation] 直交Lie環の冪零元の共軛性について
- Author(s)
  梅田亨
- Organizer
  鹿児島表現論セミナー
- Place of Presentation
  鹿児島大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-23654050

1. NOMURA Takaaki (30135511)

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UMEDA Toru 梅田 亨

梅田 享 ウメダ トオル

梅田 亨 ウメダ トオル

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Study on Renormalization as Invariant Theory under Infinite-dimensional GroupsPrincipal Investigator

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Unified viewpoint for hypergeometric functions and the pentagonal number theorem based on representation theoryPrincipal Investigator

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アノマリーとしての五角数定理の函数解析的研究Principal Investigator

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Representation Theory and Duality associated with Non-commutative Special FunctionsPrincipal Investigator

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Study of special functions based on representation and invariant theoriesPrincipal Investigator

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UMEDA Toru 梅田亨

梅田享ウメダトオル

梅田亨ウメダトオル