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NOMURA Kazumasa  野村 和正

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… Alternative Names

野村 和正  ノムラ カズマサ

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Researcher Number 40111645
Affiliation (Current) 2020: 東京医科歯科大学, その他の部局等, 名誉教授
Affiliation (based on the past Project Information) *help 2009: 東京医科歯科大学, 教養部, 名誉教授
2007: 東京医科歯科大学, 教義部, 教授
2006: 東京医科歯科大学, 教養部, 教授
1992 – 2004: 東京医科歯科大学, 教養部, 教授
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Algebra
Keywords
Principal Investigator
アソシエーションスキーム / スピンモデル / 距離正則グラフ / Bose-Mesner代数 / spin model / association scheme / Bose-Mesner algebra / 1-homogeneous / リンクの不変量 / スタートライアングル方程式 … More / 分配関数 / 結び目 / アソシエーション スキーム / モジュラー不変性 / 結び目不変量 / modular invariance / 1-homogenous / Terwilliger代数 / Bose-Mesner 代数 / Terwilliger 代数 / Base-Mesner代数 / distance-regular graph / Terwilliger algebra … More
Except Principal Investigator
アソシエーションスキーム / 有限群 / シャープ指標 / association scheme / カルタン行列 / スピンモデル / Terwilliger algebra / 代数的組合せ論 / TD-pair / P-and Q-polynomial / Quantum group / q-Onsager algebra / spin model / finite group / Cartan matrix / sharp character / Hadamard行列 / 距離正則グラフ / Hamming scheme / moduler invariance / 指標表 / P- and Q-polynomial scheme / Leonard pair / code / design / 極値集合 / P- and Q-poly. Scheme / Quantum affine algebra / TD-algebra / Augmented TD-aleebra / Askey-Wilson polynomial / P- and Q- polynomial scheme / distance-regular graph / P- and Q- polynomial sch / distance-regular / Quantum Group / nonthin / Jacobi sum / spir model / cyclotomic scheme / TD-pain / distance-iegular / デザイン / Bose-Mesner代数 / type II行列 / s-距離集合 / モジュラー不変性 / 4-weight spin model / typeII行列 / self dual / symmetric design / SDP / 自己双対性 / Spin model / Association Schemes / designs / Bose-Mesnsr algebra / type II matrices / s-distance sets / modular invariance / 4-weight spin models / Association schemes / Finite groups / Cartan matrices / Sharp characters Less
  • Research Projects

    (13 results)
  • Research Products

    (22 results)
  • Co-Researchers

    (14 People)
  •  Representations of Terwilliger algebras and their applications

    • Principal Investigator
      ITO Tatsuro
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanazawa University
  •  Association schemes and characters of finite groups

    • 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 GraphsPrincipal Investigator

    • 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
  •  Representation of finite groups and association schemes

    • 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
  •  Representations of TerwiUiger algebras and their applications

    • Principal Investigator
      ITO Tatsuro
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  Association schemes and spin models

    • Principal Investigator
      BANNNAI Etsuko
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  Association schemes and characters of finite groups

    • 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
  •  Spin models and modular invariancePrincipal Investigator

    • 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
  •  スピンモデルへの代数的アプローチPrincipal Investigator

    • 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
      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

    • 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
      KIYOTA Masao
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Medical and Dental University
  •  代数的組合せ論国際会議へ向けての準備

    • Principal Investigator
      BANNAI Eiichi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University

All 2008 2007 2006 2005 2004 Other

All Journal Article

  • [Journal Article] Towards a classification of the tridiagonal pairs2008

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] The switching element for a Leonard pair2008

    • Author(s)
      K.Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl 428

      Pages: 1083-1108

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Sharp tridiagonal pairs2008

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Balanced Leonard pairs,2007

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 420

      Pages: 51-69

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Linear transformation that are tridiagonal with respect to both eigenbases of a Leonard pair2007

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 420

      Pages: 198-207

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair2007

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 420

      Pages: 51-69

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Affine transformations of a Leonard pair2007

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Electron. J. of Linear Algebra 16

      Pages: 389-418

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] The split decomposition of a tridiagonal pair2007

    • Author(s)
      K. Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl 424

      Pages: 339-345

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Some trace formulae involving the split sequences of a Leonard pair2006

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 413

      Pages: 189-201

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Matrix units associated with the split basis of a Leonard pair2006

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 418

      Pages: 775-787

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] The determinant of AA^*-A^*A for a Leonard pair A,A^*.2006

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. 416

      Pages: 880-889

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Tridiagonal pairs and the Askey-Wilson relation2005

    • Author(s)
      K.Nomura
    • Journal Title

      Linear Algebra and its Applications 379

      Pages: 99-106

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] Tridiagonal pairs and the Askey-Wilson relation2005

    • Author(s)
      野村和正
    • Journal Title

      Linear Algebra and its Applications 397

      Pages: 99-106

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] Homogeneity of a distance-regular graph which supports a spin model2004

    • Author(s)
      K.Nomura, Brian Curtin
    • Journal Title

      J.Algebraic Combinatorics 19

      Pages: 257-272

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] Homogeneity of a distance-regular graph which supports a spin model2004

    • Author(s)
      野村和正, Brian Curtin
    • Journal Title

      J.Algebraic Combinatorics 19

      Pages: 257-272

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] A refinement of the split decomposition of a tridiagonal pair

    • Author(s)
      野村和正
    • Journal Title

      Linear Algebra and its Applications (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] Tridiagonal pairs of height one

    • Author(s)
      K.Nomura
    • Journal Title

      Linear Algebra and its Applications (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] A refinement of the split decomposition of a tridiagonal pair

    • Author(s)
      野村和正
    • Journal Title

      Linear Algebra and its Applications (to appear)

    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] Tridiagonal pairs of height one

    • Author(s)
      野村和正
    • Journal Title

      Linear Algebra and its Applications (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] The split decomposition of a tridi-agonal pair

    • Author(s)
      Kazumasa Nomura, Paul Terwilliger
    • Journal Title

      Linear Algebra Appl. (in press)

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] A refinement of the split decomposition of a tridiagonal pair

    • Author(s)
      K.Nomura
    • Journal Title

      Linear Algebra and its Applications (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540011
  • [Journal Article] Tridiagonal pairs of height one

    • Author(s)
      野村和正
    • Journal Title

      Linear Algebra and its Applications (to appear)

    • Data Source
      KAKENHI-PROJECT-15540011
  • 1.  KIYOTA Masao (50214911)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  MUNEMASA Akihiro (50219862)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  ITO Tatsuro (90015909)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  HIRAKI Akira (90294181)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  YOSHIARA Satoshi (10230674)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  WADA Tomoyuki (30134795)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  YAMADA Mieko (70130226)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  徳永 伸一 (30282734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  川中 宣明 (10028219)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  SUZUKI Hiroshi (10135767)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  TANABE Kenichiro (10334038)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  KAWAGOE Kenichi (50293337)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  BANNNAI Etsuko (00253394)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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