Kawasetsu Kazuya 川節和哉

Researcher Number	90853531
Other IDs	https://orcid.org/0000-0002-9826-114X
Affiliation (Current)	2025: 熊本大学, 大学院先端科学研究部(理), 准教授
Affiliation (based on the past Project Information) *help	2019 – 2025: 熊本大学, 大学院先導機構, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related Except Principal Investigator Broad Section B / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator Kac-Moody リー環 / 無限次元リー環 / 頂点代数 / Kac-Moodyリー環 / 共形場理論 / 頂点作用素代数 Except Principal Investigator 4D/2D双対性 / W代数 / 群の表現論 / 4 次元の超対称性場の理論 … More / 随伴多様体 / 4次元の場の理論 / 4次元の超対称性場の理論 / 表現論 / 頂点作用素代数 / 不変量 / 双対性 / 四次元多様体 / 4d/2d双対性 / テンソル圏 / 共形場理論 / 頂点代数 Less

頂点代数の自由加群の研究Principal Investigator
- Principal Investigator
  
  川節和哉
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kumamoto University
頂点代数のコセットの構造の研究Principal Investigator
- Principal Investigator
  
  川節和哉
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kumamoto University
Representation theory of vertex algebras for the 21st century
- Principal Investigator
  
  荒川知幸
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Kyoto University
Deepening the theory of vertex algebras by international joint researches
- Principal Investigator
  
  山内博
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Tokyo Woman's Christian University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Weight module classifications for Bershadsky-Polyakov algebras2024
- Author(s)
  Adamovic Drazen、Kawasetsu Kazuya、Ridout David
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: - Issue: 10
- DOI
  10.1142/s0219199723500633
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13775, KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] On the commutant of the principal subalgebra in the A_1 lattice vertex algebra2023
- Author(s)
  Kawasetsu Kazuya
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 113 Issue: 6
- DOI
  10.1007/s11005-023-01743-2
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K13775, KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] Admissible-level $$\mathfrak {sl}_3$$ minimal models2022
- Author(s)
  Kawasetsu Kazuya、Ridout David、Wood Simon
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 112 Issue: 5
- DOI
  10.1007/s11005-022-01580-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] A question of Joseph Ritt from the point of view of vertex algebras2021
- Author(s)
  Arakawa Tomoyuki、Kawasetsu Kazuya、Sebag Julien
- Journal Title
  
  Journal of Algebra
  
  Volume: 588 Pages: 118-128
- DOI
  10.1016/j.jalgebra.2021.07.030
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21828, KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] Relaxed highest-weight modules II: Classifications for affine vertex algebras2021
- Author(s)
  Kazuya Kawasetsu, David Ridout
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: -
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Journal Article] Relaxed highest-weight modules III: Character formulae2021
- Author(s)
  Kawasetsu Kazuya
- Journal Title
  
  Advances in Mathematics
  
  Volume: 393 Pages: 108079-108079
- DOI
  10.1016/j.aim.2021.108079
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] A realisation of the Bershadsky-Polyakov algebras and their relaxed modules2021
- Author(s)
  Adamovic Drazen、Kawasetsu Kazuya、Ridout David
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 111 Issue: 2
- DOI
  10.1007/s11005-021-01378-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Journal Article] Representations of the Nappi-Witten vertex operator algebra2021
- Author(s)
  Babichenko Andrei、Kawasetsu Kazuya、Ridout David、Stewart William
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 111 Issue: 5
- DOI
  10.1007/s11005-021-01471-5
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] Relaxed highest-weight modules II: Classifications for affine vertex algebras2021
- Author(s)
  Kawasetsu Kazuya、Ridout David
- Journal Title
  
  Communications in Contemporary Mathematics
  
  Volume: - Issue: 05 Pages: 2150037-2150037
- DOI
  10.1142/s0219199721500371
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065, KAKENHI-PROJECT-21H04993
[Journal Article] Classifying Relaxed Highest-Weight Modules for Admissible-Level Bershadsky-Polyakov Algebras2021
- Author(s)
  Fehily Zachary、Kawasetsu Kazuya、Ridout David
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: - Issue: 2 Pages: 859-904
- DOI
  10.1007/s00220-021-04008-y
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] A1 型格子頂点代数の主部分空間の中心化代数について2024
- Author(s)
  川節和哉
- Organizer
  2024年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] A1 型格子頂点代数の主部分空間の中心化代数について2024
- Author(s)
  川節和哉
- Organizer
  2024年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] Rogers-Ramanujan exact sequences and free modules over free generalized vertex algebras2024
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Seminar on VOA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] A1 型格子頂点代数の主部分空間の中心化代数について2024
- Author(s)
  川節和哉
- Organizer
  2024年度日本数学会年会
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Rogers-Ramanujan exact sequences and free modules over free generalized vertex algebras2024
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Seminar on VOA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Rogers-Ramanujan exact sequences and free modules over free generalized vertex algebras2024
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Seminar on VOA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点作用素代数の表現圏について2023
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Representation theory of affine vertex algebras2023
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Conference on Algebraic Representation Theory (CART) 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] Representation theory of affine vertex algebras2023
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Conference on Algebraic Representation Theory (CART) 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Representation theory of affine vertex algebras2023
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Representation theory and geometry of loop spaces, パリ=サクレ大学　フランス
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] 格子頂点作用素代数の主部分空間2023
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点作用素代数の表現論2023
- Author(s)
  川節和哉
- Organizer
  第149回日本数学会九州支部会
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] A1型格子頂点代数の主部分空間のコセットについて2023
- Author(s)
  川節和哉
- Organizer
  有限群論駒場セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] アフィン頂点作用素代数の表現論2023
- Author(s)
  川節和哉
- Organizer
  第149回日本数学会九州支部会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] A1 型格子頂点代数の主部分空間のコセットについて2023
- Author(s)
  川節和哉
- Organizer
  RIMS 共同研究（公開型）有限群論，代数的組合せ論，頂点代数の研究
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] A1 型格子頂点代数の主部分空間のコセットについて2023
- Author(s)
  川節和哉
- Organizer
  有限群論・駒場セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] A1 型格子頂点代数の主部分空間のコセットについて2023
- Author(s)
  川節和哉
- Organizer
  RIMS 共同研究（公開型）有限群論，代数的組合せ論，頂点代数の研究
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] Representation theory of affine vertex algebras2023
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Conference on Algebraic Representation Theory (CART) 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] A1型格子頂点代数の主部分空間のコセットについて2023
- Author(s)
  川節和哉
- Organizer
  RIMS 共同研究（公開型）有限群論，代数的組合せ論，頂点代数の研究
- Invited
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] Representation theory of affine vertex algebras2023
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Representation theory and geometry of loop spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] A1 型格子頂点代数の主部分空間のコセットについて2023
- Author(s)
  川節和哉
- Organizer
  有限群論駒場セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] アフィン頂点作用素代数の表現圏について2023
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー, 熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点作用素代数の表現論2023
- Author(s)
  川節和哉
- Organizer
  第149回日本数学会九州支部会
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] 格子頂点作用素代数の主部分空間2023
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] 格子頂点作用素代数の主部分空間2023
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13775
[Presentation] 非有理的アフィン頂点作用素代数の表現論2022
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー, 熊本大学
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Weight representations of admissible affine vertex algebras2022
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Conference in finite groups and vertex algebras
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] 頂点作用素代数とモジュラー微分方程式2022
- Author(s)
  川節和哉
- Organizer
  アクセサリー・パラメーター研究会（熊本大学）
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] 非有理的アフィン頂点作用素代数の表現論2022
- Author(s)
  川節和哉
- Organizer
  群論・組合せ論・表現論セミナー（熊本大学）
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点代数の表現論2022
- Author(s)
  川節和哉
- Organizer
  筑波大学数学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Weight representations of admissible affine vertex algebras2022
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Conference in finite groups and vertex algebras, Academia Sinica, 台湾
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点代数の表現論2022
- Author(s)
  川節和哉
- Organizer
  筑波大学数学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] 頂点作用素代数とモジュラー微分方程式2022
- Author(s)
  川節和哉
- Organizer
  アクセサリー・パラメーター研究会, 熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-21H04993
[Presentation] Free vertex algebras and differential algebras2021
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Rikkyo MathPhys 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] 頂点作用素代数とモジュラー微分方程式2021
- Author(s)
  川節和哉
- Organizer
  早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] Bershadsky-Polyakov 代数の表示と表現論2021
- Author(s)
  川節和哉
- Organizer
  有限群論駒場セミナー（東京大学）
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] On classification and characters of relaxed highest weight modules2020
- Author(s)
  Kazuya Kawasetsu
- Organizer
  Online VOA Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点作用素代数の relaxed 最高ウェイト表現2020
- Author(s)
  川節和哉
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] Modular linear differential equations of fourth order and minimal W-algebras2019
- Author(s)
  K. Kawasetsu
- Organizer
  Geometric and automorphic aspects of W-algebras
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] Relaxed highest-weight modules over affine VOAs2019
- Author(s)
  K. Kawasetsu
- Organizer
  Workshop on Vertex Operator Algebras and Related Topics
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] アフィン頂点代数の relaxed 最高ウェイト表現2019
- Author(s)
  川節和哉
- Organizer
  数学シンポジウム
- Data Source
  KAKENHI-PROJECT-19KK0065
[Presentation] 擬平滑頂点代数とモジュラー線形微分方程式2019
- Author(s)
  川節和哉
- Organizer
  日本数学会秋季総合分科会特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-19KK0065

1. 山内博 (40452213)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 荒川知幸 (40377974)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
3. 宮本雅彦 (30125356)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 島倉裕樹 (90399791)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. KONTREC Ana (00978489)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 西中崇博 (20773021)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 藤田遼 (40972477)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 疋田辰之 (70793230)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kawasetsu Kazuya 川節 和哉

Research Projects

Research Products

Co-Researchers

頂点代数の自由加群の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

頂点代数のコセットの構造の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Representation theory of vertex algebras for the 21st century

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Deepening the theory of vertex algebras by international joint researches

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Weight module classifications for Bershadsky-Polyakov algebras2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the commutant of the principal subalgebra in the A_1 lattice vertex algebra2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Admissible-level $$\mathfrak {sl}_3$$ minimal models2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A question of Joseph Ritt from the point of view of vertex algebras2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Relaxed highest-weight modules II: Classifications for affine vertex algebras2021

Author(s)

Journal Title

Data Source

[Journal Article] Relaxed highest-weight modules III: Character formulae2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A realisation of the Bershadsky-Polyakov algebras and their relaxed modules2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Representations of the Nappi-Witten vertex operator algebra2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Relaxed highest-weight modules II: Classifications for affine vertex algebras2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Classifying Relaxed Highest-Weight Modules for Admissible-Level Bershadsky-Polyakov Algebras2021

Author(s)

Journal Title

DOI

Data Source

[Presentation] A1 型格子頂点代数の主部分空間の中心化代数について2024

Author(s)

Organizer

Kawasetsu Kazuya 川節和哉