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HIROSHI Saito  斎藤 裕

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… Alternative Names

SAITO Hiroshi  齊藤 裕

齊藤 裕  サイトウ ヒロシ

斉藤 裕  サイトウ ヒロシ

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Researcher Number 20025464
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2009: 京大, 理学(系)研究科(研究院), 教授
2007 – 2008: Kyoto University, 大学院・理学研究科, 教授
2005 – 2006: 京都大学, 大学院理学研究科, 教授
2003 – 2005: Kyoto Univ., Graduate School of Science, Prof., 大学院・理学研究科, 教授
2002: 京都大学, 大学院・人間環境学研究科, 教授 … More
1996 – 2002: Kyoto Univ, Human and Environmental studo.P., 大学院・人間・環境学研究科, 教授
2001: 京都大学, 大学院人間・環境学研究科, 教授
1999 – 2000: Prof. Grad. School of Hum. & Env. Studies, Kyoto Univ., 大学院・人間環境学研究科, 教授
1998: Kyoto Univ., Graduate School of Human and Environmental Studies, Professor, 大学院・人間・環境研究科, 教授
1998: 京都大学, 大学院人間・環境学研究科, 教授
1997: Kyoto Univ., Graduate School of Human and Environmental studies, Professor
1996: 京都大学, 大学院人間・環境学研究科, 教授
1995: 京都大学, 大学院・人間環境学研究科, 教授
1993 – 1994: 京都大学, 大学院・人間・環境学研究科, 教授
1993: Kyoto Univ.Grad.School of Human and Enviromental Studies, Prof., 大学院・人間環境学研究科, 教授
1992: 京都大学, 大学院人間・環境学研究科, 教授
1992: Kyoto Univ.,Graduate School of Human&Environment Studies.Professor, 人間環境学研究科, 教授
1988 – 1991: Kyoto University, Yosida College, Assistant Professor, 教養部, 助教授
1986: Kyoto University, Yoshida College, Associate Professor, 教養部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / 代数学・幾何学 / 解析学 / Algebra / Basic analysis / Geometry
Keywords
Principal Investigator
エンドスコピー / 概均質ベクトル空間 / ゼータ関数 / 跡公式 / テータ対応 / prehomogeneous vector space / zeta function / L-packet(エルパケット) / Arthur packet(アーサーパケット) / transfer factor(トランスファー因子) … More / Langlands packet(ラングランズ パケット) / ユニポテント表現 / Yoshida lifting / エルパケット / アーサーパケット / 表現の制限 / 特殊ユニタリ群 / 球等質空間 / 球関数 / ジーゲル保型形式 / 新谷関数 / ベルンシュタイン次数 / Freudenthal quartics / 巾単軌道積分 / inner form(内部形式) / tempered表現 / 特殊線形群 / 対称多様体 / Zelevinski(ゼレヴィンスキ)対台 / 巾零軌道積分 / Assemの予想 / Plancherelの公式 / Koecher-Maass級数 / 分岐則 / 数論 / 保型表現 / 許容表現 / 表現の制限則 / グロスプラサド予想 / S群 / 形式的次数 / エルパラメータ / エス群 / シーソー原理 / シ-ゲル保型形式 / ゼータ-関数 / 次元公式 / ヘッケ環 / ガウス和 / コーエンマコーレー加群 / 複素力学系 / 保型形式 / フーリエ係数 / 対称行列の空間 / 代数群 / Siegel modular form / dimension formula / speherical homogeneous space / sphrical function / Hecke ring / Gauss sum / 関数等式 / 球部分群 / 両側剰余類分解 / 川中不変量 / コーエン-マコーレイ環 / 軌道上のゼータ関数 / カルタン分解 / 特異ユニタリ表現 / functionsl equation / sperical subgroup / double coset decomposition / Bernstein degree / Kawanaka invariant / Cohen-Macaulay module / 明示公式 / フロイデンタール4次式 / 退化ホイッタカベクトル / unsaturated概均質ベクトル空間 / Kocher-Maass級数 / 写像類群 / 絶対ガロア群 / 概均質ベクトル空間のゼータ関数 / nonsaturated概均質ベクトル空間 / 退化Whittakerベクトル / Siegel保型形式 / 半単純リー群 / 対称空間 / 旗多様体 / explicit formula / degenerate Whittaker vector / Siegel cusp form / theta correspondence / Shintani function / プレイジアス予想 / 特殊線型群 / 内部形式 / 重複度公式 / 保型誘導 / トランスファー因子 / ユニタリ群 / 安定跡公式 / 特殊値 / 宮脇予想 / 誘導表現 / グロス-プラサド予想 / CAP表現(キャップ表現) / Delinge予想(ドリーニュ予想) / Gross-Prasad予想(グロスープラサド予想) / restriction of representation / Blasius conjecture / special linear group / inner form / L-packet / multiplicity formula / automorphic induction / transfer factor … More
Except Principal Investigator
概均質ベクトル空間 / 球関数 / L関数 / 表現論 / ゼータ関数 / 保型形式 / ヘッケ環 / 球等質空間 / 代数群 / モジュライ空間 / 対称空間 / ケ-ラ-多様体 / 特殊関数 / リー群 / CM加群 / ヘッケ作用素 / R行列 / 超越数 / パデ近似 / 無理数度 / ハッセの原理 / モ-メント写像 / ザイフェルトファイバ-空間 / Hyperkahler structure / ガウス和 / L-function / Gauss sum / automorphic form / 幾何構造 / 量子群 / ワイル群 / Hecke algebras / Special functions / symmetric spaces / Spherical functions / Automorphic forms / 軌道分解 / prehomogeneous vector space / zeta function / アイゼンシュタイン級数 / Eisenstein series / 半単純リー群 / ユニタリ表現 / 随伴多様体 / 随伴サイクル / 巾零軌道 / テータ対応 / unitary representation / associated cycle / nilpotent orbit / Pade approximation / dual pair / Eta multiplier / Hasse principle / 局所環 / 跡公式 / Lie超代数 / b関数 / マンデルブロー集合 / Farey分数 / 見本関数 / SiegelのE関数.G関数 / 保型L関数 / 保型表現 / 保型的L関数 / ひねられた共役類 / Hyperkahler構造 / Seifertファイバ-空間 / 微分同相類 / CohenーMacauley加群 / 多元環の表現論 / 代数体の微分 / Twisted conjugacy class / Hasse Principle / Moment map / Seifert fibered space / Diffeomophism type / Cohen-Macaulay module / Representation of algebras / 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 / 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 / Representation of quaternions / Hecke operator / Kahler manifold / Representation of Lie groups / 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 / 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, / モッグス束 / Kahler-Einstein metric / parabolic vector bundle / Seifert fibering space / differentiable structure / analytic transformation / prehomogeneous space / 4次元多様体 / リー超代数 / ユニタリー表現 / 楕円曲面 / 微分同相写像 / ブックスバウム加群 / キバーの表現論 / CMー加群 / ブロ-イングアップ / エグゾ-ティツ構造 / ヘッケ代数 / 双対性 / 4-Manifold / Geometric structure / Lie superalgebra / Unitary representation / CM module / リー代数 / q類似 / 可積分系 / Algebraic gruops / Lie algebras / Representations / R-matrix / q-analogues / 表現 / representations / Lie groups / quantum groups / zeta functions / L^^<エル>関数 / モジュラー形式 / L-関数 / L-functions / Modular forms / りー群 / 等質空間 / 進化ゲノム理論 / 動的パターン投影法 / Lie group / algebraic group / homogeneous space / 整数論 / 算術的 / 次元公式 / アイロンシュタイン整数 / ディリクレ級数 / 伴型形式 / 概均質ペクトル空間 / アイゼンシスタイン釈数 / ディリクレ波数 / Zeta function / number theory / prehomogeneous vector spaces / arithmetic / dimension formula / 軌道 / 特殊関係 / Representation theory / Algebraic group / Spherical function / Special function / Symmetric space / Spherical homogeneous space / Orbit / 幾何学的不変式論 / 半単純群の表現論 / reductive dual pair / semisimple Lie group / associated variety / theta correspondence / geometric invariant theory / Siegel保型形式 / アイゼンシュタイシ級数 / spherical function / 一次独立 / 連分数 / 超幾何関数 / 多重対数関数 / 無理数 / Irrationality / Linear independence / Transcendence / Roth-Ridont theorem / Polylogarithms / Fredholm series / Metric Property / Trans cendence / Bernoulli numbers / Saddle points / Diophantine inequality / Pade近似 / モノドロミー理論 / G関数 / 多項式 / 近似 / 9-関数 / irrationality measure / linear independence / continued fraction / transcendency / hypergeometric function / polylogarithm / 冪零軌道 / 等方表現 / 不変式論 / デュアル・ペア / テータ持ち上げ / アキエゼル・ギンディキン領域 / 両側軌道分解 / 随伴軌道 / 寡零軌道 / 調和解析 / 最高ウェイト表現 / データ対応 / Weil表現 / 調和振動子表現 / semisimple Lie groups / isotropy representation / invariant theory / theta lifting / p-進体 / 簡約群 / 許容表現 / distinguished表現 / Weyl群 / 認容表現 / 部分表現定理 / 尖点表現 / 放物型部分群 / p-進群 / Wey1群 / ルート系 / Hecke環 / Macdonald公式 / p-adic fields / reductive groups / admissible representations / spherical functions / spherical homogenous spaces / distinguished representations / Weyl groups / 多様体 / 双曲構造 / 変形 / 錐多様体 / 超幾何方程式 / 確定特異点 / 楕円曲線 / 有理点 / 3次元多様体 / 双曲多様体 / 結び目 / モジュラー曲線 / 葉層構造 / manifolds / hyperbolic structure / deformation / cone manifold / hypergeometric equation / regular singular point / elliptic curve / rational point / エルミート対称空間 / 数論的部分群 / 複素トーラス / Hermitian symmetric space / arithmetic subgroup / moduli space / Higher derivation(of rings) / Arith metic mean of Gauss / higher derivation / non-integrable element / trace value / Huygens principle / hypoelliptic operator / Higher derivation (of rings) / Arithmetic-geometric mean of Gauss Less
  • Research Projects

    (28 results)
  • Research Products

    (17 results)
  • Co-Researchers

    (57 People)
  •  On L-packets of reductive algebraic groupsPrincipal Investigator

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Automorphic representations and L-functions

    • Principal Investigator
      IKEDA Tamotsu
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Representation theoretic research of spherical functions on p-adic homogeneous spaces

    • Principal Investigator
      KATO Shin-ichi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Hyperbolic structures on manifolds and their deformations

    • Principal Investigator
      FUJII Michihiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Automorphic forms and representations of p-adic groupsPrincipal Investigator

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Graduate School of Science, Kyoto University
  •  エンドスコピーとユニポテント軌道積分の研究Principal Investigator

    • Principal Investigator
      斎藤 裕
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Geometry and Harmonic Analysis on Nilpotent Orbits

    • Principal Investigator
      NISHIYAMA Kyo
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYOTO 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
  •  Analytical research for transcendental numbers

    • Principal Investigator
      HATA Masayoshi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  On zeta functions of prehomogeneous vector spacesPrincipal Investigator

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Theta correspondence and associated cycles

    • Principal Investigator
      NISHIYAMA Kyo
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Theory of automorphic forms and arithmetic into functions

    • Principal Investigator
      IBUKIYAMA Tomoyashi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Representation-theoretic study of spherical functions arising from number theory

    • Principal Investigator
      KATO Shinichi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Arithmetic of automorphic forms of many variable : reconstruction of the foundation

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Study on prehomogeneous vector spaces

    • 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
  •  On zeta functions of prehomogeneous vector spacesPrincipal Investigator

    • Principal Investigator
      SAITO Hiroshi
    • Project Period (FY)
      1997 – 1998
    • 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
  •  Representation and analysis on symmetric spaces

    • Principal Investigator
      MATSUKI Toshihiko
    • Project Period (FY)
      1995 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  Arithmetic research of automorphic functionsPrincipal Investigator

    • 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 Yuuji
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  超越数の研究

    • Principal Investigator
      HATA Masayoshi
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • 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
  •  Commutative rings of analysis and others

    • Principal Investigator
      AKIBA Tomoharu
    • 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
  •  Algebraic Homology and It's Application

    • Principal Investigator
      IWAI Akira
    • 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
  •  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
  •  The study of commutative rings and its related areas

    • Principal Investigator
      AKIBA Tomoharu
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  Algebraic-geometrical and arithmetical study of a quotient space of a Riemannian symmetric space by an arithmetic group

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University

All 2008 2005 2003 2002 Other

All Journal Article

  • [Journal Article] Two remarks on a theore of Prasad2008

    • Author(s)
      齋藤裕
    • Journal Title

      Pacific Journal of Math 234

      Pages: 185-199

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340006
  • [Journal Article] Two remarks on a theorem of Dipendra Prasad2008

    • Author(s)
      齋藤 裕
    • Journal Title

      Pacific J. math. 236

      Pages: 111-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340006
  • [Journal Article] On restriction of admissible representations2005

    • Author(s)
      平賀郁, 斉藤裕
    • Journal Title

      Theory, Proceedings of the Silver Jubilee Conference, University of Hyderabad

      Pages: 299-326

    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] On restriction of admissible representations2005

    • Author(s)
      平賀郁, 齋藤裕
    • Journal Title

      Algebra and Number Theory Proc. of Silver Jubilee Conf. Hyderabad

      Pages: 299-326

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] On restriction of admissible, representations2005

    • Author(s)
      K.Hiraga, H.Saito
    • Journal Title

      Algebra and Number Thorey, Proceeding of the Silver Jubilee Conference (Hindustan Book Agency)

      Pages: 300-327

    • Data Source
      KAKENHI-PROJECT-15540022
  • [Journal Article] Convergence of the zeta functions of prehomogeneous vector spaces2003

    • Author(s)
      Hiroshi Saito
    • Journal Title

      Nagoya Math.J. 170

      Pages: 1-31

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] On restriction of admissible representations2003

    • Author(s)
      Hiroshi Saito
    • Journal Title

      Proc. of International conference on Algebra & Number theory

      Pages: 11-16

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] On restriction of admissible representations2003

    • Author(s)
      Hiroshi Saito
    • Journal Title

      Proc.International conference on algebra and number theory

      Pages: 11-16

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540069
  • [Journal Article] Convergence of the zeta functions of pre homogeneous vector spaces2003

    • Author(s)
      齋藤 裕
    • Journal Title

      Nagoya Math. J. 170

      Pages: 1-31

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] Convergence of the zeta functions of prehomogeneous vector spaces2003

    • Author(s)
      H.Saito
    • Journal Title

      Nagoya Math.J. 170

      Pages: 1-31

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540022
  • [Journal Article] Global zeta functions of Freudenthal quartics2002

    • Author(s)
      齋藤 裕
    • Journal Title

      International Journal of Mathematics 13-8

      Pages: 797-820

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] Global zeta functions of Freudenthal quartics2002

    • Author(s)
      Hiroshi Saito
    • Journal Title

      International J.Math. 13-8

      Pages: 797-820

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] Restriction of admissible representations

    • Author(s)
      Hiroshi Saito
    • Journal Title

      Proceeding of Hyderabad conference (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440046
  • [Journal Article] On restriction of admissible representations

    • Author(s)
      Kaoru Hiraga, Hiroshi Saito
    • Journal Title

      Algebra and Number Theory, Proc.of Silver Jubilee Conf.Hyderabad

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340011
  • [Journal Article] Restriction of admissible representations.

    • Author(s)
      Hiroshi Saito
    • Journal Title

      Proceeding of Hyderabad conference (発表予定)

    • Data Source
      KAKENHI-PROJECT-13440046
  • [Journal Article] Two remarks on a theorem of Dipendra Prasad

    • Author(s)
      Saito, Hiroshi
    • Journal Title

      Pacific J. Math. 234(no.1)

      Pages: 185-199

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340004
  • [Journal Article] Restriction of admissible representations.

    • Author(s)
      Hiroshi Saito
    • Journal Title

      Proceeding of Hyderabad conference (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440046
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