ARIKE Yusuke 有家雄介

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Arike Yusuke 有家雄介

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Researcher Number	50583770
Other IDs
Affiliation (Current)	2025: 鹿児島大学, 法文教育学域教育学系, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 鹿児島大学, 法文教育学域教育学系, 准教授 2012 – 2016: 筑波大学, 数理物質系, 助教 2011: 大阪大学, 理学(系)研究科(研究院), 招へい研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 頂点作用素代数 / モジュラー形式 / モジュラー微分方程式 / モジュラー不変性 / 共形場理論 / モジュラーロンスキアン / テンソル圏 / 共形ブロック / リーマン面 / アフィンリー環 … More / モジュラーな微分方程式 / 大域次元 / ヴィラソロ代数 / フュージョン則 Less

Research Projects
(4 results)
Research Products
(25 results)

Modular linear differential equations and vertex operator algebrasPrincipal Investigator
- Principal Investigator
  
  有家雄介
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kagoshima University
Tensor categories and modular invariance of vertex operator algebrasPrincipal Investigator
- Principal Investigator
  
  Arike Yusuke
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kagoshima University
Modular invariance of vertex operator algebras and its application to representation theoryPrincipal Investigator
- Principal Investigator
  
  ARIKE Yusuke
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
Fusion rules for irrational vertex operator algebrasPrincipal Investigator
- Principal Investigator
  
  ARIKE Yusuke
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba
  Osaka University

All 2024 2022 2020 2019 2017 2016 2015 2013 2012 Other

All Journal Article Presentation

[Journal Article] Vertex operator algebras with central charges 164/5 and 236/72020
- Author(s)
  Arike Yusuke、Nagatomo Kiyokazu
- Journal Title
  
  Communications in Number Theory and Physics
  
  Volume: 14 Issue: 3 Pages: 487-509
- DOI
  10.4310/cntp.2020.v14.n3.a2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03406
[Journal Article] Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters2017
- Author(s)
  Yusuke Arike, Kiyokazu Nagatomo, Yuichi Sakai
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800003
[Journal Article] Affine vertex operator algebras and modular linear differential equations2016
- Author(s)
  Yusuke Arike, Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: - Issue: 5 Pages: 1-26
- DOI
  10.1007/s11005-016-0837-7
- NAID
  120007187839
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25800003, KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-15K13428, KAKENHI-PROJECT-16H06336
[Journal Article] Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions2013
- Author(s)
  Toshiyuki Abe, Yusuke Arike
- Journal Title
  
  Journal of Algebra
  
  Volume: 373 Pages: 39-64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] 頂点代数とモジュラー微分方程式2024
- Author(s)
  有家雄介
- Organizer
  代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K03406
[Presentation] Modular linear differential equations on the theta group and vertex operator superalgebras2022
- Author(s)
  Yusuke Arike
- Organizer
  Conference in finite groups and vertex algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03406
[Presentation] Pseudo-trace functions2020
- Author(s)
  Yusuke Arike
- Organizer
  Vertex Operator Algebras and Related Topics in Kumamoto
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03406
[Presentation] Vertex operator algebras and modular linear differential equations2019
- Author(s)
  Yusuke Arike
- Organizer
  第36回代数的組合せ論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K03406
[Presentation] Minimal models and modular linear differential equations of order 42016
- Author(s)
  有家雄介
- Organizer
  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）
- Year and Date
  2016-01-05
- Invited
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Affine vertex operator algebras and modular linear differential equations2016
- Author(s)
  有家雄介，金子昌信，永友清和，境優一
- Organizer
  日本数学会２０１６年度年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Vertex operator algebras, minimal models, and modular linear differential equations of order 42016
- Author(s)
  有家雄介，永友清和，境優一
- Organizer
  日本数学会２０１６年度年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Characters and modular linear differential equations of order 3 and 42016
- Author(s)
  Yusuke Arike
- Organizer
  Workshop on Finite Groups, VOA, and algebraic combinatorics
- Place of Presentation
  Foguang University, Yilan, Taiwan
- Year and Date
  2016-03-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Minimal models and modular linear differential equations of 4th order2015
- Author(s)
  Yusuke Arike
- Organizer
  Vertex Operator Algebra and Related Topics
- Place of Presentation
  Sichuan University, Chengdu, China
- Year and Date
  2015-09-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] アフィン頂点作用素代数の指標のみたすモジュラー微分方程式2015
- Author(s)
  有家雄介
- Organizer
  有限群論・駒場セミナー
- Place of Presentation
  東京大学（東京都目黒区）
- Year and Date
  2015-05-25
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Pseudo-trace functions on twisted modules2013
- Author(s)
  Yusuke Arike
- Organizer
  Taitung workshop on group theory, VOA, and algebraic combinatorics
- Place of Presentation
  National Taitung University (台湾)
- Year and Date
  2013-03-28
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] Fusion products for the symplectic fermionic vertex operator superalgebras2012
- Author(s)
  Yusuke Arike
- Organizer
  Conference on Vertex Operator Algebras and Related Topics
- Place of Presentation
  Shanghai Jiao Tong University (中華人民共和国)
- Year and Date
  2012-08-26
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] Fusion rules for vertex operator algebras arising from symplectic fermions2012
- Author(s)
  有家雄介
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大学
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] ホップ代数と量子群-応用の可能性2012
- Author(s)
  有家雄介
- Organizer
  Logarithmic intertwining operators for the symplectic fermionic vertex operator superalgebras
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-09-02
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] Modular invariance of vertex operator algebras
- Author(s)
  Yusuke Arike
- Organizer
  Around Mathematical Physics and Geometry
- Place of Presentation
  神戸大学
- Year and Date
  2014-09-20 – 2014-09-21
- Invited
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Characters of affine VOAs and modular differential equations
- Author(s)
  Yusuke Arike
- Organizer
  Taitung Workshop on finite groups, VOA and algebraic combinatorics
- Place of Presentation
  National Taitung University (台湾)
- Year and Date
  2015-03-07 – 2015-03-10
- Invited
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Pseudo-trace functions on twisted modules
- Author(s)
  有家雄介
- Organizer
  Taitung workshop on group theory, VOA and algebraic combinatorics
- Place of Presentation
  National Taitung University (台湾)
- Invited
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] Fusion products for symplectic fermionic VOSA
- Author(s)
  Yusuke Arike
- Organizer
  Beyond the Moonshine
- Place of Presentation
  ホテル華乃湯(宮城県仙台市)
- Invited
- Data Source
  KAKENHI-PROJECT-25800003
[Presentation] Fusion products for the symplectic fermionic vertex operator superalgebra
- Author(s)
  有家雄介
- Organizer
  Conference on Vertex Operator Algebras and Related Topics
- Place of Presentation
  Shanghai Jiao Tong University (中華人民共和国)
- Invited
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] Logarithmic intertwining operators for the symplectic fermionic vertex operator superalgebra
- Author(s)
  有家雄介
- Organizer
  ホップ代数と量子群―応用の可能性
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23740019
[Presentation] Fusion rules for irreducible modules for symplectic fermionic VOAs
- Author(s)
  Yusuke Arike
- Organizer
  Hualien workshop on finite groups, VOA, algebraic combinatorics, and related topics
- Place of Presentation
  National Dong Hua university, Taiwan
- Invited
- Data Source
  KAKENHI-PROJECT-25800003

ARIKE Yusuke 有家 雄介

Arike Yusuke 有家 雄介

Research Projects

Research Products

Modular linear differential equations and vertex operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Tensor categories and modular invariance of vertex operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Modular invariance of vertex operator algebras and its application to representation theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Fusion rules for irrational vertex operator algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Vertex operator algebras with central charges 164/5 and 236/72020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters2017

Author(s)

Journal Title

Data Source

[Journal Article] Affine vertex operator algebras and modular linear differential equations2016

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions2013

Author(s)

Journal Title

Data Source

[Presentation] 頂点代数とモジュラー微分方程式2024

Author(s)

Organizer

Data Source

[Presentation] Modular linear differential equations on the theta group and vertex operator superalgebras2022

Author(s)

Organizer

Data Source

[Presentation] Pseudo-trace functions2020

Author(s)

Organizer

Data Source

[Presentation] Vertex operator algebras and modular linear differential equations2019

Author(s)

Organizer

Data Source

[Presentation] Minimal models and modular linear differential equations of order 42016

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Affine vertex operator algebras and modular linear differential equations2016

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Vertex operator algebras, minimal models, and modular linear differential equations of order 42016

Author(s)

Organizer

Place of Presentation

Year and Date

ARIKE Yusuke 有家雄介

Arike Yusuke 有家雄介