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KIYITA Masao  清田 正夫

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KIYOTA Masao  清田 正夫

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Researcher Number 50214911
External Links
Affiliation (based on the past Project Information) *help 2015: 東京医科歯科大学, 教養部, 教授
2011: 東京医科歯科大学, 教養部, 教授
2006 – 2007: 東京医科歯科大学, 教養部, 教授
2005: 東京医料歯科大学, 教養部, 教授
1996 – 2004: 東京医科歯科大学, 教養部, 教授
1993 – 1995: 東京医科歯科大学, 教養部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra
Keywords
Principal Investigator
シャープ指標 / 有限群 / アソシエーションスキーム / カルタン行列 / sharp character / Cartan matrix / finite group / association scheme / Sharp characters / Cartan matrices / Finite groups / Association schemes / スピンモデル … More
Except Principal Investigator
… More ブロック / カルタン行列 / 森田同値 / 有限群 / 不足群 / スピンモデル / アソシエーションスキーム / Bose-Mesner代数 / 距離正則グラフ / Frobenius-Perron eigenvalue / Cartan matrix / 単因子 / モジュラー表現 / 1-homogeneous / Morita equivalence / defect group / block / ペロン・フロベニウス固有値 / 表現 / Bose-Mesner algebra / association scheme / spin model / ドイツ:中国 / 森田不変 / ポーランド / 国際研究者交流 / 有限次元多元環 / 森田多元環 / フロベニウス多元環 / 圏 / 加群 / 多元環 / Morita equivalent / elementary divisor / modular representation / finite group / 固有ベクトル行列 / モジュラー表現論 / フロベニウス・ペロン固有値 / フロベニウス-ペロン固有値 / Brauer correspondence / Elementary divisor / Block / Modular representation / Finite group / 弱正定値2次定式 / 正定値2次形式 / ペロン,フロベニウス固有値 / ブラウアー対応 / Terwilliger algebra / distance-regular graph / Base-Mesner代数 / Terwilliger 代数 / Bose-Mesner 代数 / Terwilliger代数 / 1-homogenous / group ring / derived equivalence / ディライブド カテゴリー / 多之環の表現 / 有限群のモジュラー表現 / 群環 / 導来同値 / DEFECT GROUP / BRAUER CHARACTER / IRREDUCIBLE CHARACTER / PERRON-FROBENIUS EIGENVALUE / BLOCK / CARTAN MATRIX / REPRESENTATION / FINITE GROUP / 可解群 / ブラウアー指標 / ブラウァー指標 / 既約指標 / modular invariance / 結び目不変量 / モジュラー不変性 / アソシエーション スキーム / ブルエ予想 / 一般指標 / 中山の予想 / シュペヒト加群 / 固有値の整数性 / 固有値 / 高さ / 既約Brauer指標 / 2-ブロック / 対称群 / 群の表現論 / 結び目 / 分配関数 / スタートライアングル方程式 / リンクの不変量 Less
  • Research Projects

    (15 results)
  • Research Products

    (15 results)
  • Co-Researchers

    (13 People)
  •  Representations of Frobenius algebras

    • Principal Investigator
      Yamagata Kunio
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Eigenvalues of Cartan matrices and Morita equivalences of blocks in finite groups

    • Principal Investigator
      WADA Tomoyuki
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Study on eigenvalues and elementary divisors of Cartan matrices in finite groups

    • Principal Investigator
      WADA Tomoyuki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Association schemes and characters of finite groupsPrincipal Investigator

    • Principal Investigator
      KIYOTA Masao
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  Spin Models and Distance-Regular Graphs

    • Principal Investigator
      NOMURA Kazumasa
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  Rationality of elgenvalues of Cartan matrices in finite groups

    • Principal Investigator
      WADA Tomoyuki
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University Agriculture And Technology
  •  Representation of finite groups and association schemesPrincipal Investigator

    • Principal Investigator
      KIYOTA Masao
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  Association schemes and characters of finite groupsPrincipal Investigator

    • Principal Investigator
      KIYOTA Masao
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  How much are the module categories of the principal blocks controlled by the Brauer categories?

    • Principal Investigator
      ENOMOTO Yoko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ochanomizu University
  •  Spin models and modular invariance

    • Principal Investigator
      NOMURA Kazumasa
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  A STUDY OF THE CARTAN MATRICES OF FINITE GROUPS

    • Principal Investigator
      WADA Tomoyuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture & Technology
  •  スピンモデルへの代数的アプローチ

    • Principal Investigator
      野村 和正
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  有限群の表現とアソシェーションスキームPrincipal Investigator

    • Principal Investigator
      清田 正夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  アソシエーションスキームとスピンモデルの構造

    • Principal Investigator
      野村 和正
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  アソシエーションスキームと有限群の指標Principal Investigator

    • Principal Investigator
      清田 正夫
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University

All 2015 2014 2013 2012 2011 2007 2005 2004

All Journal Article Presentation

  • [Journal Article] The heights of irreducible Brauer characters in 2-blocks of the symmetric groups2012

    • Author(s)
      M. Kiyota, T. Okuyama, T. Wada
    • Journal Title

      Journal of Algebra

      Pages: 18-18

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540009
  • [Journal Article] 対称群の2-ブロックにおける高さOの既約Brauer指標について2012

    • Author(s)
      清田正夫・奥山哲郎・和田倶幸
    • Journal Title

      数理解析研究所講究録

      Volume: (印刷中)(掲載決定)

    • Data Source
      KAKENHI-PROJECT-21540009
  • [Journal Article] The heights of irreducible Brauer characters in 2-blocks of the symmetric groups2011

    • Author(s)
      清田正夫・奥山哲郎・和田倶幸
    • Journal Title

      第28回代数的組み合わせ論シンポジウム報告集

      Volume: 28 Pages: 40-917

    • Data Source
      KAKENHI-PROJECT-21540009
  • [Journal Article] A note on sharp characters2007

    • Author(s)
      M. Kiyota
    • Journal Title

      東京医科歯科大学教養部研究紀要 37

      Pages: 1-4

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540014
  • [Journal Article] On eigenvalues of the Cartan matrix of a cyclic block(in Japanese)2004

    • Author(s)
      清田正夫
    • Journal Title

      数理解析研究所講究録 1357

      Pages: 116-118

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] On elgenvalues of the Cartan matrix of a cyclic block (in Japanese)2004

    • Author(s)
      M.Kiyota
    • Journal Title

      Suurikenn-koukyuuroku 1357

      Pages: 116-118

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Presentation] On Cartan matrices determined by the dimensions of simple modules2015

    • Author(s)
      清田正夫
    • Organizer
      有限群のコホモロジー論とその周辺
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市左京区北白川追分町)
    • Year and Date
      2015-02-18
    • Data Source
      KAKENHI-PROJECT-25400036
  • [Presentation] On Cartan matrices with two parameters2014

    • Author(s)
      清田正夫
    • Organizer
      RIMS研究集会 有限群とその表現・頂点作用素代数・代数的組合せ論の研究
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市左京区)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400036
  • [Presentation] 竹田の不等式について2013

    • Author(s)
      清田正夫
    • Organizer
      第25回有限群論草津セミナー
    • Place of Presentation
      草津セミナーハウス(群馬県吾妻郡草津町)
    • Data Source
      KAKENHI-PROJECT-25400036
  • [Presentation] 対称群の2-ブロックにおける既約Brauer指標の高さ2011

    • Author(s)
      Tetsuro Okuyama, Masao Kiyota, Tomoyuki Wada
    • Organizer
      有限群のコホモロジーとその周辺シンポジウム
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-09-01
    • Data Source
      KAKENHI-PROJECT-21540009
  • [Presentation] 対称群における2-modular既約加群の2-height2011

    • Author(s)
      Tetsuro Okuyama, Masao Kiyota, Tomoyuki Wada
    • Organizer
      第28回代数的組み合わせ論シンポジウム
    • Place of Presentation
      大分大学
    • Year and Date
      2011-06-20
    • Data Source
      KAKENHI-PROJECT-21540009
  • [Presentation] 整数行列の固有値と単因子2007

    • Author(s)
      M. Kiyota
    • Organizer
      第19回草津群論セミナー
    • Place of Presentation
      草津セミナーハウス
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540014
  • [Presentation] On eigenvalues of Cartan matrices2007

    • Author(s)
      Kiyota, Masao
    • Organizer
      Cohomology Theory of Finite Groups and Related Topics
    • Place of Presentation
      Kyoto Univ. RIMS
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540014
  • [Presentation] On eigenvalues of Cartan matrices2007

    • Author(s)
      M. Kiyota
    • Organizer
      有限群のコホモロジー論の研究
    • Place of Presentation
      京都大学数理解析研究所
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540014
  • [Presentation] A note on sharp characters of finite groups2005

    • Author(s)
      Kiyota, Masao
    • Organizer
      Cohomology Theory of Finite Groups and Related Topics
    • Place of Presentation
      Kyoto Univ. RIMS
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540014
  • 1.  NOMURA Kazumasa (40111645)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  WADA Tomoyuki (30134795)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  YAMAGATA Kunio (60015849)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  FUKUSHIMA Hiroshi (30125869)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  ENOMOTO Yoko (90151993)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  徳永 伸一 (30282734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  WADA Tomoyuki (40003008)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 5 results
  • 8.  KUNUGI Naoko (50362306)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  MAEDA Hironobu (50173711)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  MASHIMO Katsuya (50157187)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  TASHIRO Yoshiaki (00014928)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  UNO Katsuhiro (70176717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  HORIE Mitsuko (70242336)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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