GYOUJYA Akihiko 行者明彦

Researcher Number	50116026
External Links
Affiliation (based on the past Project Information) *help	2007 – 2010: Sophia University, Graduate School of Mathematics, Professor 2006: 名古屋大学, 大学院多元数理科学研究科, 教授 1998 – 2005: Nagoya Univ., Graduate School of Mathematics, Professor, 大学院・多元数理科学研究科, 教授 2002 – 2004: 名古屋大学, 多元数理科学研究科, 教授 1998: 名古屋大学, 大学院多元数理科学研究科, 教授 … More 1992 – 1997: 京都大学, 総合人間学部, 助教授 1992: Kyoto Univ.,Integrated Human Studies,Assistant Professor, 助教授 1990 – 1991: Kyoto University Yoshida College Assistant Professor, 教養部, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 Except Principal Investigator Algebra / 代数学・幾何学 / Algebra / Basic analysis / 解析学 / Basic analysis
Keywords	Principal Investigator 概均質ベクトル空間 / ヘッケ環 / 表現論 / 代数群 / 球関数 / リー超代数 / 指標層 / 指標和 / algebraic group / 代数学 … More / リー代数 / モジュラー表現 / 整数論 / ワイル群 / 岩堀ヘッケ環 / 4次元多様体 / 複素力学系 / シューアの相互律 / セル / レフシェッツ原理 / R行列 / オートマトン / コーエン・マコーレー加群 / 既約ユニタリ表現 / 超幾何関数 / ジュリア集合 / CM正規環 / prehomogenous vector space / Lefschetz principle / Hecke algebra / R-matrix / automaton / Cohen-Macaulay module / Lie super algebra / irreducible unitary representation / ゼータ関数 / りー群 / 等質空間 / リー群 / 対称空間 / 軌道分解 / 進化ゲノム理論 / 動的パターン投影法 / prehomogeneous vector space / zeta function / Lie group / homogeneous space / 指標差 / prehomogeneous vector sp. / representation / character sheaf / character sam … More Except Principal Investigator 概均質ベクトル空間 / 表現論 / ヘッケ環 / 代数群 / 保型形式 / 球関数 / 球等質空間 / ゼータ関数 / 量子群 / 対称空間 / Shintani descent / 複素鏡映群 / ケ-ラ-多様体 / モジュライ空間 / prehomogeneous vector space / 不変式論 / ヘッケ作用素 / 跡公式 / R行列 / Schurの相互律 / Hecke環 / Cartan型Lie代数 / 有限簡約群 / Lusztig予想 / 古典群 / 概指標 / 指標層 / L関数 / ガウス和 / Gauss sum / Kahler manifold / Representation of Lie groups / automorphic form / モジュライ / Hecke algebras / 代数解析 / 既約指標 / Ariki-Koike algebra / 有限Chevalley群 / 超局所解析 / Lie群・代数群の表現 / 不変超関数論 / 微分方程式 / 群論 / Invariant hyperfunctions / 局所環 / CM加群 / Lie超代数 / b関数 / matched asymptotics / 非線形固有値問題 / Borel総和法 / beyond all orders / 保型L関数 / Howeの対応 / reductive dual pair / Cartan型Lie超代数 / Weil表現 / 志村多様体 / 幾何学的表現論 / fundamental lemma / 有限体上の対称空間 / 指標層の特性関数 / 新谷descent / Weyl群 / Springer表現 / Induction Theorem / enhanced nilcone / Kostka関数 / Macdonald多項式 / 特殊ユニタリー群 / 一般Gelfand-Graev表現 / Kostka 多項式 / Intersection cohomology / 四元数環の表現 / リ-群の表現 / 旗多様体 / ホッジ多様体 / 岩堀、ヘッケ代数 / ハッセの原理 / σ-共役類 / ノルム写像 / コンパクトケ-ラ-多様体 / moduli空間 / Weil Petersson計量 / 解析的変換 / 離散系列表現 / Prehomogenous Space / L-function / Representation of quaternions / Hecke operator / flagmanifold / ハイパ-ケ-ラ-構造 / ケ-ラ-・アインシュタイン計量 / 放物ベクトル束 / ザイフェルトファイバ-空間 / 微分構造 / 解析変換 / 概均質空間 / 局所対称空間 / extremal計量, / ヴェ-ユ・ペ-タ-ソン計量 / ホッヂ多様体, / モ-メント写像 / モッグス束 / Hyperkahler structure / Kahler-Einstein metric / parabolic vector bundle / Seifert fibering space / differentiable structure / analytic transformation / prehomogeneous space / グラスマン多様体 / 不変微分作用素 / ケーラー多様体 / アインシュタイン・ケーラー計量 / ドルボー補題 / ディオファンタス近似 / ハイバ-ケ-ラ-空間 / ラドン変換 / Grassmann manifold / invriant differential operator / Einstein-Kahler metric / Dolbeault lemma / Diophantine approximation / リー代数 / 特殊関数 / q類似 / ワイル群 / 可積分系 / Algebraic gruops / Lie algebras / Special functions / Representations / R-matrix / q-analogues / シ-ゲル保型形式 / ゼータ-関数 / 次元公式 / ジーゲル保型形式 / コーエンマコーレー加群 / 複素力学系 / フーリエ係数 / 対称行列の空間 / 新谷関数 / Siegel modular form / zeta function / dimension formula / speherical homogeneous space / sphrical function / Hecke ring / 可解模型 / 組み合わせ論 / 組み合せ論 / アフィンリー環 / 量子郡 / 特殊凾数 / representation theory / quantum groups / solvable models / combinatorics / Lie環 / Howeの双対性 / Bernstein次数 / 随伴サイクル / Weyl群の表現 / 川中不変量 / weyl群の表現 / 両側軌道分解 / 球部分群 / 葉層構造 / 随伴多様体 / 巾零部分環 / Lie algebra of Cartan type / Howe duality correspondence / Bernstein degree / associated cycle / representations of Weyl group / Kawanaka invariant / ベクトル束 / 不変式 / Verlinde公式 / 共形ブロック / Hilbertの第14問題 / 基本領域 / K3曲面 / Hodeg予想 / Brill-Noether理論 / trisecant line公式 / 有界対称領域 / ラータ関数 / アーベル曲面 / 佐武コンパクト化 / テータ関数 / フーベル曲面 / 正多面体群 / 佐武のコンパクト化 / moduli / vector bundle / invariant / Verlinde formula / conformal block / Hilbert's 14th problem / fundamental domain / K3 surface / 準超幾何関数 / LR変換 / 直交多項式 / 発散級数解 / ボレル総和可能性 / 特異偏微分方程式 / 形式的巾級数解 / 収束,発散 / ポアンカレ条件 / ジュブレイ指数 / 接続関係式 / 超球面配置 / 超幾何積分 / 差分方程式 / 接続行列 / Wu方程式 / 特異点 / モノドロミー / 離散可積分系 / quasi hypergeometric / LR transform / orthogonal polynomials / divergent solution / Borel summability / singular equation / アイゼンシュタイン級数 / Siegel保型形式 / アイゼンシュタイシ級数 / spherical function / Eisenstein series / 特殊線形群 / Green関数 / Hall-Littlewood関数 / Macdonald関数 / 一般Green関数 / graded Hecke algebra / Luszfig's conjecture / special linear group / irreducible character / almost character / character sheaf / symmetric space / グレブナ基底 / 線形微分方程式 / 非線形解析 / Prehomogeneous vector space / Micro-local analysis / Representation of Lie groups and algebraic groups / Invariant theory / Grobner basis / Differential equations / Algebraic analysis / 不変微分方程式論 / 基本解 / 不変超関数 / 微分方程式の基本解 / 不変微分方程式 / micro-local analysis / Invariant Theory / Invariant differential equations / Group Theory / fundamental solution / cyclotomic q-Schur algebra / Fock空間 / cellular algebra / 有限対称空間 / cyclotomic q-Schur algerbra / 分解定数 / 積公式 / フォック空間 / gneralizd Green関数 / modified Arki-Koik algebraSchur- / Schur-Weyl duality / graded affine Hecke algebra / generalized Green関数 / Springer correspondence / algebraic groups / complex reflection groups / cyclotomic q-Scqur algebras / Fock space / cellular aloebras / finite reductive groups / finite symmetric space Less

有限体上の対称空間と新谷descent
- Principal Investigator
  
  庄司俊明
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
有隈体上の対称空間と新谷descent
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Representation theory of algebraic groups, Hecke algebras and canpex refiecion groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Study on prehomogeneous vector spaces and micro-local analysis
- Principal Investigator
  
  MURO Masakazu
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Gifu University
p-進代数群の表現論
- Principal Investigator
  
  FUJIWARA Kazuhiro
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Research on prehomogenecus vector spaces and representation theory of algebraic groupsPrincipal Investigator
- Principal Investigator
  
  GYOJA Akihiko
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Representation theory of algebraic groups, Hecke algebras and complex reflection groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
  Tokyo University of Science
Research on prehomogeneous vector spaces and micro-local analysis
- Principal Investigator
  
  MURO Masakazu
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gifu University
概均質ベクトル空間と代数群の表現論の研究Principal Investigator
- Principal Investigator
  
  行者明彦
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
A study on relations between the theory of prehomogeneous vector spaces, the theory of group representations and the theory of automorphic forms
- Principal Investigator
  
  SATO Fumihiro
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  RIKKYO UNIVERSITY
Analytic Integral and its applications
- Principal Investigator
  
  MIYAKE Masatake, AOMOTO Kazuhiko
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Study of moduli spaces, and K3 moonshine
- Principal Investigator
  
  MUKAI Shigeru
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERCITY
  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
Study on prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  MATSUKI Toshihiko, 行者明彦
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
Lie algebra of differential oeprators on algebraic variety and its representations
- Principal Investigator
  
  NISHIYAMA Kyo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
Weil表現とHoweの対応
- Principal Investigator
  
  西山享
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
概均質ベクトル空間の理論におけるレフシェッツ原理の研究Principal Investigator
- Principal Investigator
  
  行者明彦
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
代数群ヘッケ環の表現とその応用
- Principal Investigator
  
  加藤信一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
概均質ベクトル空間の研究Principal Investigator
- Principal Investigator
  
  行者明彦
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
数理科学の諸分野に現れる漸近解析的問題の研究
- Principal Investigator
  
  TAKASAKI Kanehisa
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyoto University
Arithmetic research of automorphic functions
- Principal Investigator
  
  SAITO Hiroshi
- Project Period (FY)
  1994 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYOTO UNIVERSITY
可換環上の表現論とホモロジー代数の研究
- Principal Investigator
  
  YOSHINO Yuji
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Study of Prehomogeneous vector spacesPrincipal Investigator
- Principal Investigator
  
  GYOJA Akihiko
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  KYOTO UNIVERSITY
Studies on Group Representations and Related Special Functions
- Principal Investigator
  
  KATO Shin-ichi
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  KYOTO UNIVERSITY
Study on global structures of manifolds.
- Principal Investigator
  
  IMANISHI Hideki
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  KYOTO UNIVERSITY
Study of the stability theory of polarized compact Kahler manifolds
- Principal Investigator
  
  FUJIKI Akira
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University
Automorphic Forms and Number Theory
- Principal Investigator
  
  YAMAUCHI Masatoshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyoto University

All 2002

All Journal Article

[Journal Article] Certain unipotent representations of finite Chevalley groups2002
- Author(s)
  A.Gyoja
- Journal Title
  
  Ann.Sci.de l'Erole Norm.Sup. 35-3
  
  Pages: 437-444
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440003
[Journal Article] Certain unipotent representations of finite Chevalley groups2002
- Author(s)
  A.Gyoja
- Journal Title
  
  Annales Scientifiques de l'Ecole Normale Sup. 35・3
  
  Pages: 437-444
- Data Source
  KAKENHI-PROJECT-13440003
[Journal Article] Certain unipotent representations of finite Chevalley groups2002
- Author(s)
  A.Gyoja
- Journal Title
  
  Aun.Sci.de l'Ecole Norm.Sug. 35・3
  
  Pages: 437-444
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440003

1. NISHIYAMA Kyo (70183085)

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2. KATO Sin-ichi (90114438)

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3. SAITOU Hiroshi (20025464)

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66. MINAMI Kazuhiko (40271530)

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67. 尾畑伸明 (10169360)

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68. 市原完治 (00112293)

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69. 千代延大造 (50197638)

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70. SATO Fumihiro (20120884)

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71. HIRONAKA Yumiko (10153652)

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72. YAMADA Yuji (40287917)

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73. AARAKAWA Tsuneo (60097219)

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74. IBUKIYAMA Tomoyoshi (60011722)

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75. NOMURA Takaaki (30135511)

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76. 吾郷孝視 (60112893)

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77. 浜畑芳紀 (90260645)

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78. ASAKAWA Hidekazu (00211003)

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79. 尼野一夫 (40021761)

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80. OSHIMA Toshio (50011721)

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GYOUJYA Akihiko 行者 明彦

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Research on prehomogenecus vector spaces and representation theory of algebraic groupsPrincipal Investigator

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概均質ベクトル空間と代数群の表現論の研究Principal Investigator

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Study on prehomogeneous vector spacesPrincipal Investigator

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GYOUJYA Akihiko 行者明彦