NOMURA Kazumasa 野村和正

… Alternative Names

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 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

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

NOMURA Kazumasa 野村 和正

野村 和正 ノムラ カズマサ

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Spin Models and Distance-Regular GraphsPrincipal Investigator

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Spin models and modular invariancePrincipal Investigator

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

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アソシエーションスキームとスピンモデルの構造Principal Investigator

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[Journal Article] Towards a classification of the tridiagonal pairs2008

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Journal Title

Data Source

[Journal Article] The switching element for a Leonard pair2008

Author(s)

NOMURA Kazumasa 野村和正

野村和正ノムラカズマサ

[Journal Article] The determinant of AA^-A^A for a Leonard pair A,A^*.2006