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 / Basic analysis / 解析学
Keywords	Principal Investigator 概均質ベクトル空間 / 代数群 / 表現論 / ヘッケ環 / algebraic group / 指標和 / 指標層 / リー超代数 / 球関数 / character sam … More / character sheaf / representation / prehomogeneous vector sp. / 指標差 / homogeneous space / Lie group / zeta function / prehomogeneous vector space / 動的パターン投影法 / 進化ゲノム理論 / 軌道分解 / 対称空間 / リー群 / 等質空間 / りー群 / ゼータ関数 / irreducible unitary representation / Lie super algebra / Cohen-Macaulay module / automaton / R-matrix / Hecke algebra / Lefschetz principle / prehomogenous vector space / CM正規環 / ジュリア集合 / 超幾何関数 / 既約ユニタリ表現 / コーエン・マコーレー加群 / オートマトン / R行列 / レフシェッツ原理 / セル / シューアの相互律 / 複素力学系 / 4次元多様体 / 岩堀ヘッケ環 / ワイル群 / 整数論 / モジュラー表現 / リー代数 / 代数学 … More Except Principal Investigator 概均質ベクトル空間 / 表現論 / 保型形式 / 代数群 / ヘッケ環 / 球関数 / 不変式論 / prehomogeneous vector space / モジュライ空間 / ケ-ラ-多様体 / 複素鏡映群 / Shintani descent / 対称空間 / 量子群 / ゼータ関数 / 球等質空間 / Invariant hyperfunctions / 群論 / 微分方程式 / 不変超関数論 / Lie群・代数群の表現 / 超局所解析 / 有限Chevalley群 / Ariki-Koike algebra / 既約指標 / 代数解析 / Hecke algebras / モジュライ / automorphic form / Representation of Lie groups / Kahler manifold / Gauss sum / ガウス和 / L関数 / 指標層 / 概指標 / 古典群 / Lusztig予想 / 有限簡約群 / Cartan型Lie代数 / Hecke環 / Schurの相互律 / R行列 / 跡公式 / ヘッケ作用素 / finite symmetric space / finite reductive groups / cellular aloebras / Fock space / cyclotomic q-Scqur algebras / complex reflection groups / algebraic groups / Springer correspondence / generalized Green関数 / graded affine Hecke algebra / Schur-Weyl duality / modified Arki-Koik algebraSchur- / gneralizd Green関数 / フォック空間 / 積公式 / 分解定数 / cyclotomic q-Schur algerbra / 有限対称空間 / cellular algebra / Fock空間 / cyclotomic q-Schur algebra / fundamental solution / Group Theory / Invariant differential equations / Invariant Theory / micro-local analysis / 不変微分方程式 / 微分方程式の基本解 / 不変超関数 / 基本解 / 不変微分方程式論 / Algebraic analysis / Differential equations / Grobner basis / Invariant theory / Representation of Lie groups and algebraic groups / Micro-local analysis / Prehomogeneous vector space / 非線形解析 / 線形微分方程式 / グレブナ基底 / symmetric space / character sheaf / almost character / irreducible character / special linear group / Luszfig's conjecture / graded Hecke algebra / 一般Green関数 / Macdonald関数 / Hall-Littlewood関数 / Green関数 / 特殊線形群 / Eisenstein series / spherical function / アイゼンシュタイシ級数 / Siegel保型形式 / アイゼンシュタイン級数 / singular equation / Borel summability / divergent solution / orthogonal polynomials / LR transform / quasi hypergeometric / 離散可積分系 / モノドロミー / 特異点 / Wu方程式 / 接続行列 / 差分方程式 / 超幾何積分 / 超球面配置 / 接続関係式 / ジュブレイ指数 / ポアンカレ条件 / 収束,発散 / 形式的巾級数解 / 特異偏微分方程式 / ボレル総和可能性 / 発散級数解 / 直交多項式 / LR変換 / 準超幾何関数 / K3 surface / fundamental domain / Hilbert's 14th problem / conformal block / Verlinde formula / invariant / vector bundle / moduli / 佐武のコンパクト化 / 正多面体群 / フーベル曲面 / テータ関数 / 佐武コンパクト化 / アーベル曲面 / ラータ関数 / 有界対称領域 / trisecant line公式 / Brill-Noether理論 / Hodeg予想 / K3曲面 / 基本領域 / Hilbertの第14問題 / 共形ブロック / Verlinde公式 / 不変式 / ベクトル束 / Kawanaka invariant / representations of Weyl group / associated cycle / Bernstein degree / Howe duality correspondence / Lie algebra of Cartan type / 巾零部分環 / 随伴多様体 / 葉層構造 / 球部分群 / 両側軌道分解 / weyl群の表現 / 川中不変量 / Weyl群の表現 / 随伴サイクル / Bernstein次数 / Howeの双対性 / Lie環 / combinatorics / solvable models / quantum groups / representation theory / 特殊凾数 / 量子郡 / アフィンリー環 / 組み合せ論 / 組み合わせ論 / 可解模型 / Hecke ring / sphrical function / speherical homogeneous space / dimension formula / zeta function / Siegel modular form / 新谷関数 / 対称行列の空間 / フーリエ係数 / 複素力学系 / コーエンマコーレー加群 / ジーゲル保型形式 / 次元公式 / ゼータ-関数 / シ-ゲル保型形式 / q-analogues / R-matrix / Representations / Special functions / Lie algebras / Algebraic gruops / 可積分系 / ワイル群 / q類似 / 特殊関数 / リー代数 / Diophantine approximation / Dolbeault lemma / Einstein-Kahler metric / invriant differential operator / Grassmann manifold / ラドン変換 / ハイバ-ケ-ラ-空間 / ディオファンタス近似 / ドルボー補題 / アインシュタイン・ケーラー計量 / ケーラー多様体 / 不変微分作用素 / グラスマン多様体 / prehomogeneous space / analytic transformation / differentiable structure / Seifert fibering space / parabolic vector bundle / Kahler-Einstein metric / Hyperkahler structure / モッグス束 / モ-メント写像 / ホッヂ多様体, / ヴェ-ユ・ペ-タ-ソン計量 / extremal計量, / 局所対称空間 / 概均質空間 / 解析変換 / 微分構造 / ザイフェルトファイバ-空間 / 放物ベクトル束 / ケ-ラ-・アインシュタイン計量 / ハイパ-ケ-ラ-構造 / flagmanifold / Hecke operator / Representation of quaternions / L-function / Prehomogenous Space / 離散系列表現 / 解析的変換 / Weil Petersson計量 / moduli空間 / コンパクトケ-ラ-多様体 / ノルム写像 / σ-共役類 / ハッセの原理 / 岩堀、ヘッケ代数 / ホッジ多様体 / 旗多様体 / リ-群の表現 / 四元数環の表現 / Intersection cohomology / Kostka 多項式 / 一般Gelfand-Graev表現 / 特殊ユニタリー群 / Macdonald多項式 / Kostka関数 / enhanced nilcone / Induction Theorem / Springer表現 / Weyl群 / 新谷descent / 指標層の特性関数 / 有限体上の対称空間 / fundamental lemma / 幾何学的表現論 / 志村多様体 / Weil表現 / Cartan型Lie超代数 / reductive dual pair / Howeの対応 / 保型L関数 / beyond all orders / Borel総和法 / 非線形固有値問題 / matched asymptotics / b関数 / Lie超代数 / CM加群 / 局所環 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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4. MATUKI Toshiko (20157283)

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5. YOSHINO Yuji (00135302)

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6. KONO Norio (90028134)

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7. YAMAUCHI Masatoshi (30022651)

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8. UEDA Tetuo (10127053)

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9. SHOJI Toshiaki (40120191)

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10. OKADA Soichi (20224016)

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18. HATA Masayoshi (40156336)

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24. MIYAKE Masatake (70019496)

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28. MURO Masakazu (70127934)

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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