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Matsumoto Hisayoshi  松本 久義

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… Alternative Names

松本 久義  マツモト ヒサヨシ

MATUMOTO Hisayosi  松本 久義

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Researcher Number 50272597
Affiliation (Current) 2022: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help 2018 – 2021: 東京大学, 大学院数理科学研究科, 准教授
2016: 東京大学, 大学院数理科学研究科, 准教授
2014 – 2015: 東京大学, 数理(科)学研究科(研究院), 准教授
2006 – 2013: 東京大学, 大学院・数理科学研究科, 准教授
2009: 東京大学, 数理学研究科, 准教授 … More
2005 – 2006: 東京大学, 大学院数理科学研究科, 助教授
1997 – 2004: 東京大学, 大学院・数理科学研究科, 助教授
1998: 東京大学, 大学院・数理科学科学科, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Basic analysis / Basic analysis / Basic Section 12010:Basic analysis-related
Except Principal Investigator
Basic analysis / Basic analysis / Algebra / 解析学
Keywords
Principal Investigator
ユニタリ表現 / 一般化バルマ加群 / 半単純リー群 / 一般化Verma加群 / 退化系列表現 / 放物幾何 / リー代数 / 一般化旗多様体 / 有限W代数 / 一般化バルマ … More / 半単純リー代数 / リー群 / 微分不変量 / 実簡約群 / 退化系列 / derived functor module / 既約ユニタリ表現 / 分岐則 / ホイタッカーモデル / real reductive Lie groups / Unitary representations / degenerate series / derived functor modules / unitay representations / semisimple Lie groups / generalized Verma modules / 旗多様体 / 微分不変式 / 簡約リー代数 / 簡約リー群 / Whittakerモデル … More
Except Principal Investigator
超幾何関数 / 対称空間 / 表現論 / 完全積分可能系 / 退化系列表現 / 単因子 / 半単純リー群 / 冪零軌道 / Whittaker模型 / 旗多様体 / 積分幾何 / ルート系 / 等質空間 / 確定特異点 / ポアソン変換 / 超幾何微分方程式 / Poisson transform / Verma加群 / 普遍包絡環 / primitive ideal / ラドン変換 / グラスマン多様体 / Capelli恒等式 / 原始イデアル / ユニタリ表現 / 幾何学的不変量 / Howe双対性 / 微分方程式系 / テータ対応 / 微分作用素環 / 調和解析 / 一般Whittaker模型 / 実調和解析 / 双対性 / ヴェイユ表現 / 表現の分岐 / 離散系列 / 離散系列表現 / Whittakerベクトル / 等方表現 / 不変量 / 代数解析 / 常微分方程式 / Kac-Moodyルート系 / 国際研究者交流 / 多国籍 / モノドロミー / 接続係数 / 特殊関数 / 代数群 / 軌道 / 冪零多様体 / モーメント写像 / 余接束多様体 / 球作用 / 二重旗多様体 / 対称部分群 / ハリシュ・チャンドラ加群 / 随伴サイクル / 余次元1連結性 / Bruhat分解 / KGB理論 / 代数群の軌道 / 随伴多様体 / 多重旗多様体 / 球多様体 / Bruha分解 / 不変微分方程式 / 球函数 / 可積分系 / 超幾何函数 / 不変微分作用素 / homogenneous space / representation theory / invariant differential equations / spherical function / integrable system / semisimple Lie group / hypergeometric function / Hardy空間 / Radon変換 / c-函数 / 最小多項式 / Verma 加群 / 量子化 / 完約リー環 / symmetric space / Verma module / Hardy space / completely integrable system / Radon transform / unversal enveloping algebra / 微分方程式 / Whittaker関数 / Lie群 / 解析学 / 不確定特異点 / 境界値問題 / 完全積分可能量子系 / Whittakerモデル / Calogeo-Moser系 / 戸田系 / ベキ零軌道 / Differential equation / Representation theory / Completely integrable system / Hypergeometric function / Integral geometry / Regular singularities / Whittaker function / Lie group Less
  • Research Projects

    (12 results)
  • Research Products

    (33 results)
  • Co-Researchers

    (24 People)
  •  簡約リー群及びリー代数の誘導表現の研究Principal Investigator

    • Principal Investigator
      松本 久義
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      The University of Tokyo
  •  Study of homomorphisms between generalized Verma modulesPrincipal Investigator

    • Principal Investigator
      MATUMOTO Hisayosi
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Orbits on flag varieties and moment maps

    • Principal Investigator
      NISHIYAMA Kyo
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  Study of group representation and differential equations associated with root systems and its applications

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Study of generalized Verma modulesPrincipal Investigator

    • Principal Investigator
      MATUMOTO Hisayosi
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Modern study on homogeneous spaces and unitary representations via duality

    • Principal Investigator
      YAMASHITA Hiroshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  The study of the representation theoretical aspect of generalized flag varietiesPrincipal Investigator

    • Principal Investigator
      MATUMOTO Hisayosi
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Systems of differential equations with group actions and their applications

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Systems of differential equations attached to representations of Lie groups

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  リー群の表現の退化と超幾何関数の一般化

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Representations of real reductive Lie groupsPrincipal Investigator

    • Principal Investigator
      MATUMOTO Hisayosi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo
  •  Differential equations on homogeneous spaces

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo

All 2021 2019 2016 2015 2014 2011 2010 2009 2008 2007

All Journal Article Presentation

  • [Journal Article] Homomorphisms between scalar generalized Verma modules for gl(n.C)2016

    • Author(s)
      HIsayosi MATUMOTO
    • Journal Title

      International Mathematics Research Notices

      Volume: 2016 Pages: 3525-3547

    • DOI

      10.1093/imrn/rnv238

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400006
  • [Journal Article] On the homomorphisms between scalar generalized Verma modules2014

    • Author(s)
      Hisayosi MATUMOTO
    • Journal Title

      Compositio MATHEMATICA

      Volume: 150 Pages: 877-892

    • DOI

      10.1112/s0010437x13007677

    • NAID

      130008005945

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400006
  • [Journal Article] Derived functors modules arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      H. Matumoto, P. E. Trapa
    • Journal Title

      Compositio Mathematica 143

      Pages: 222-256

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540162
  • [Journal Article] Derived functor modulos arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      Hisayosi MATUMOTO, Peter E. Trapa
    • Journal Title

      Compositio Math. 143

      Pages: 222-256

    • Data Source
      KAKENHI-PROJECT-18540162
  • [Journal Article] Derived functor modules arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      Hisayosi Matumoto
    • Journal Title

      Compositio Math. 143

      Pages: 222-256

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Journal Article] Derived functor modules arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      Hisayosi Matumoto, Peter E. Trapa
    • Journal Title

      Compositio Math 143

      Pages: 222-256

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540162
  • [Journal Article] Derived functor modules arising as large irreducible constituents of degenerate principal series2007

    • Author(s)
      Hisayosi Matumoto
    • Journal Title

      Compositio Math 143

      Pages: 222-256

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] 一般化バルマ加群をめぐって2021

    • Author(s)
      松本久義
    • Organizer
      表現論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03322
  • [Presentation] On the homomorphisms between scalar generalized Verma modules for complex simple Lie algebras of type B and C2019

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      International Symposium on“ Advances and Perspectives in Representation Theory ”
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03322
  • [Presentation] On homomorphisms between scalar generalized Verma modules for complex simple Lie algebras of type B and C2019

    • Author(s)
      Hisayosi MATUMOTO
    • Organizer
      Representation theory of reductive Lie groups and algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03322
  • [Presentation] gl(n,C) のスカラー型一般化バルマ加群の間の準同型2015

    • Author(s)
      松本久義
    • Organizer
      Algebraic Lie Theory and Representation Theory 2015
    • Place of Presentation
      岡山いこいの村
    • Year and Date
      2015-06-08
    • Data Source
      KAKENHI-PROJECT-26400006
  • [Presentation] Whittaker modules and vectors associated with the Jacobi parabolic subalgebras2011

    • Author(s)
      Hisayosi MATUMOTO
    • Organizer
      2011 Nankai International Workshop on Reoresentationh Theory and Harmonic Analysis
    • Place of Presentation
      Tianjin, China(招待講演)
    • Year and Date
      2011-06-11
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] Whittaker modules and vectors associated with the Jacobi parabolic subalgebras2011

    • Author(s)
      松本久義
    • Organizer
      The 10th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On a finite W-algebra module structure on the space of continuous Whittaker vectors for an irreducible Harish-Chandra modules2010

    • Author(s)
      松本久義
    • Organizer
      The 9th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On a finite W-algebra module structure on the space of continuous Whittaker vectors for an irreducible Harish-Chandra module2010

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      The 9th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] On a finite W-algebra module structure on the space of continuous Whittaker vectors for an irreducible Harish-Chandra modules2010

    • Author(s)
      Matumoto, Hisayosi
    • Organizer
      The 9th Workshop on Nilpotent Orbits and Representation Theory(NORTh9)
    • Place of Presentation
      北海道大学
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] On exisitence of homomorphisms between generfalized Verma modules2009

    • Author(s)
      松本久義
    • Organizer
      Representation Theory of Real Reductive Groups(国際研究集会)
    • Place of Presentation
      ユタ大学
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On existence of homomorphisms between generalized Verma modules2009

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Representation Theory of Real Reductive Groups
    • Place of Presentation
      ユタ大学(米国)
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] On exisitence of homomorphisms between generfalized Verma modules2009

    • Author(s)
      Matumoto, Hisayosi
    • Organizer
      Representation Theory of Real Reductive Groups
    • Place of Presentation
      Utah大学
    • Data Source
      KAKENHI-PROJECT-21340006
  • [Presentation] On homomorphisms between scalar generalized Verma modules2009

    • Author(s)
      松本久義
    • Organizer
      Conference in honor of Toshio Oshima's 60th birthday Differential Equations and Symmetric Spaces
    • Place of Presentation
      University of Tokyo
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On homomorphisms between scalar generalized Verma modules,2009

    • Author(s)
      松本久義
    • Organizer
      Conference in honor of Toshio Oshima's 60th birthday Differential Equtions and Symmetric Spaces
    • Place of Presentation
      Univercsity of Tokyo
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On homomorphisms between scalar generalized Verma modules2009

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      大津市
    • Year and Date
      2009-03-09
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] On homomorphisms between scalar generalized Verma modules2009

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Differential Equations and Symmetric Spaces
    • Place of Presentation
      東京大学
    • Year and Date
      2009-01-13
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] On homomorphisms between scalar generalized Verma modules,2009

    • Author(s)
      松本久義
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      Ogoto Shiga Japan
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On homomorphisms between scalar generalized Verma modules2009

    • Author(s)
      松本久義
    • Organizer
      The 8th Workshop on Nilpotent Orbits and Representation Theory
    • Place of Presentation
      Ogoto Shiga Japan
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On existence of homomorphisms between generalized Verma modules2009

    • Author(s)
      松本久義
    • Organizer
      Representation Theory of Real Reductive Groups(国際研究集会)
    • Place of Presentation
      ユタ大学
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On homomorphisms between scalar generalized Verma modules2008

    • Author(s)
      松本久義
    • Organizer
      Mini-Workshop on Representation Theory
    • Place of Presentation
      University of Tokyo
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] On homomorphisms between scalar generalized Verma modules2008

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Mini-Workshop on Representation Theory
    • Place of Presentation
      東京大学
    • Year and Date
      2008-09-14
    • Data Source
      KAKENHI-PROJECT-18204008
  • [Presentation] On the existence problem of homomorphisms between generalized Verma modules2008

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Annual meeting of JMS
    • Place of Presentation
      Kinki University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540162
  • [Presentation] On homomorphisms between scalar generalized Verma modules,2008

    • Author(s)
      松本久義
    • Organizer
      Mini-Workshop on Representation Theory
    • Place of Presentation
      Univercsity of Tokyo
    • Data Source
      KAKENHI-PROJECT-20540011
  • [Presentation] 一般化されたVerma加群の間の準同型の存在問題について2008

    • Author(s)
      松本久義
    • Organizer
      日本数学会年会(一般講演)
    • Place of Presentation
      近畿大学理工学部
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540162
  • [Presentation] Whittaker vectorの空間の既約性2007

    • Author(s)
      松本久義
    • Organizer
      日本数学会年会(一般講演)
    • Place of Presentation
      埼玉大学
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540162
  • [Presentation] Irreducibility of the space of continuous Whittaker vectors2007

    • Author(s)
      Hisayosi Matumoto
    • Organizer
      Annual meeting of JMS
    • Place of Presentation
      Saitama University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540162
  • 1.  OSHIMA Toshio (50011721)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  ODA Takayuki (10109415)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  KOBAYASHI Toshiyuki (80201490)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  SHIMENO Nobukazu (60254140)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  TERADA Itaru (70180081)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  SEKIGUCHI Jiro (30117717)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  SEKIGUCHI Hideko (50281134)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  OCHIAI Hiroyuki (90214163)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  YAMASHITA Hiroshi (30192793)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  TANIGUCHI Kenji (20306492)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  WACHI Akihito (30337018)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  NISHIYAMA Kyo (70183085)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  MATSUKI Toshihiko (20157283)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  YOSHIDA Tomoyuki (30002265)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  SAITO Mutsumi (70215565)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  SHIBUKAWA Youichi (90241299)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  TACHIZAWA Kazuya (80227090)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KAWAZOE Takeshi (90152959)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  ISHI Hideyuki (00326068)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  MORITA Hideaki (90435412)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  HIRAI Takeshi (70025310)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  MASUDA Tetsu (00335457)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KAWAKAMI Hiroshi (00646854)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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