Oshima Kazuyuki 大島和幸

… Alternative Names

OSHIMA KAZUYUKI 大島和幸

OSHIMA Kazuyuki 大島和幸

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Researcher Number	30547980
Other IDs
Affiliation (Current)	2025: 愛知工業大学, 工学部, 教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 愛知工業大学, 工学部, 教授 2016: 愛知工業大学, 基礎教育センター, 准教授 2015: 愛知工業大学, 工学部, 准教授 2013: 愛知工業大学, 基礎教育センター, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator 楕円類似 / 可積分系 / Ｗ代数 / 楕円化 / W代数 / 頂点作用素 / 表現論 / 楕円変形 / 量子トロイダル代数 / W algebra … More / vertex operator / representaiton / Quantum toroidal algebra / Elliptic analogue … More Except Principal Investigator 量子群 / ホップ代数 / アフィンリー環 / 超幾何関数 / 楕円関数 / アフィンリー環 / 楕円超幾何関数 / 楕円量子群 / Ruijsenaars模型 / Hecke環 / W代数 / 楕円量子KZ方程式 / 特殊関数 / KZ方程式 / Macdonald多項式 / ヘッケ環 / q-KZ方程式 / Rujisenaars模型 / Macdonald対称関数 / 変形W代数 / 量子行列式 / 楕円q-KZ方程式 / 楕円Ruijsenaars模型 / リー代数 / 国際情報交換 / コクセター亜群 / ルート系 / 一般化されたルート系 / 一般化された量子群 / ワイル亜群 / コクセター群 / スーパーリー代数 / W-代数 / Z-代数 / 可解格子模型 / Sklyanin代数 Less

Representation theory of elliptic quantum toroidal algebras and its application to integrable systemsPrincipal Investigator
- Principal Investigator
  
  OSHIMA KAZUYUKI
- Project Period (FY)
  2021 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Aichi Institute of Technology
Representation of elliptic quantum groups and elliptic Ruijsenaars model
- Principal Investigator
  
  Konno Hitoshi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Marine Science and Technology
On representation theory of generalized quantum groups and algebras related to them
- Principal Investigator
  
  Yamane Hiroyuki
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Toyama
Representation theoretical aproach to multi-variate elliptic hypergeometric functions
- Principal Investigator
  
  KONNO Hitoshi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University

All 2024 2023 2022 2017 2016 2015 2014 2013 Other

All Journal Article Presentation

[Journal Article] Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations2024
- Author(s)
  H.Konno and K.Oshima
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 27 Issue: 2 Pages: 1137-1175
- DOI
  10.1007/s10468-024-10251-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03507, KAKENHI-PROJECT-23K03029, KAKENHI-PROJECT-21K03191
[Journal Article] Elliptic quantum toroidal algebra Uq,t,p(gl1,tor) and affine quiver gauge theories2023
- Author(s)
  Hitoshi Konno, Kazuyuki Oshima
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 113 Issue: 2 Pages: 1-64
- DOI
  10.1007/s11005-023-01650-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03507, KAKENHI-PROJECT-21K03191
[Journal Article] Elliptic Quantum Group U_{q,p}(B^{(1)}_N) and Vertex Operators2017
- Author(s)
  H.Konno and K.Oshima
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B62 Pages: 97-148
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400046
[Journal Article] Elliptic Quantum Group U_{q,p}(B_N^(1)) and Vertex Operators2016
- Author(s)
  H.Konno and K.Oshima
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B Pages: 1-62
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400046
[Journal Article] Elliptic Algebra U_qp(g^) and Quantum Z-Algebras2015
- Author(s)
  R.M.Farghly, H.Konno and K.Oshima
- Journal Title
  
  Algebra and Representation Theory
  
  Volume: 18 Issue: 1 Pages: 103-135
- DOI
  10.1007/s10468-014-9483-x
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400046
[Journal Article] Elliptic Algebra U_{q,p}(g) and Quantum Z-algebras2014
- Author(s)
  R.M.Farghly, H.Konno, K.Oshima
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540022
[Journal Article] Elliptic Quan- tum Algebra U_q,p(B^<(1)> _N ) and Vertex Oper- ators
- Author(s)
  H. Konno and K.Oshima
- Journal Title
  
  研究会"第16回代数群と量子群の表現論"報告集
  
  Volume: (掲載決定)
- Data Source
  KAKENHI-PROJECT-22540022
[Journal Article] Elliptic Algebra U_q,_p(ĝ) and Quantum Z-algebra
- Author(s)
  R.M.Farghly, H. Konno and K.Oshima
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540022
[Presentation] Elliptic Quantum Toroidal Algebras and their representations2022
- Author(s)
  Kazuyuki Oshima
- Organizer
  Recent Advances in Quantum Integrable Systems
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03191
[Presentation] Elliptic Quan- tum Algebra U_<q,p>(B^<(1)>_N) and Vertex Oper- ators2013
- Author(s)
  H. Konno and K.Oshima
- Organizer
  RIMS研究集会"超弦理論・表現論・可積分系の数理"
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540022
[Presentation] Elliptic Quan- tum Algebra U_q,p(B^<(1>)) N and Vertex Oper- ators2013
- Author(s)
  H. Konno and K.Oshima
- Organizer
  研究会"第16回代数群と量子群の表現論"
- Place of Presentation
  強羅青雲荘, 箱根
- Data Source
  KAKENHI-PROJECT-22540022

1. KONNO Hitoshi (00291477)

# of Collaborated Projects: 2 results

# of Collaborated Products: 10 results
2. JIMBO Michio (80109082)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. NOUMI Masatoshi (80164672)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. NAKAYASHIKI Atsushi (10237456)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Yamane Hiroyuki (10230517)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. YOSHII Yoji (90462126)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. ITO Ken (70410587)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. MIMACHI KATSUHISA (40211594)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Oshima Kazuyuki 大島 和幸

OSHIMA KAZUYUKI 大島 和幸

OSHIMA Kazuyuki 大島 和幸

Research Projects

Research Products

Co-Researchers

Representation theory of elliptic quantum toroidal algebras and its application to integrable systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Representation of elliptic quantum groups and elliptic Ruijsenaars model

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On representation theory of generalized quantum groups and algebras related to them

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation theoretical aproach to multi-variate elliptic hypergeometric functions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Elliptic quantum toroidal algebra Uq,t,p(gl1,tor) and affine quiver gauge theories2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Elliptic Quantum Group U_{q,p}(B^{(1)}_N) and Vertex Operators2017

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic Quantum Group U_{q,p}(B_N^(1)) and Vertex Operators2016

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic Algebra U_qp(g^) and Quantum Z-Algebras2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Elliptic Algebra U_{q,p}(g) and Quantum Z-algebras2014

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic Quan- tum Algebra U_q,p(B^<(1)> _N ) and Vertex Oper- ators

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic Algebra U_q,_p(ĝ) and Quantum Z-algebra

Author(s)

Journal Title

Data Source

[Presentation] Elliptic Quantum Toroidal Algebras and their representations2022

Author(s)

Organizer

Data Source

[Presentation] Elliptic Quan- tum Algebra U_<q,p>(B^<(1)>_N) and Vertex Oper- ators2013

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Elliptic Quan- tum Algebra U_q,p(B^<(1>)) N and Vertex Oper- ators2013

Author(s)

Organizer

Place of Presentation

Data Source

Oshima Kazuyuki 大島和幸

OSHIMA KAZUYUKI 大島和幸

OSHIMA Kazuyuki 大島和幸