Shibata Taiki 柴田大樹

Researcher Number	90804055
Other IDs	https://orcid.org/0000-0002-9031-9677
Affiliation (Current)	2025: 岡山理科大学, 理学部, 講師
Affiliation (based on the past Project Information) *help	2021 – 2023: 岡山理科大学, 理学部, 講師 2019 – 2020: 岡山理科大学, 理学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator 中山関手 / テンソル圏 / ホップ代数 / スーパー代数群 / typicalウェイト / フロベニウス核 / スタインバーグのテンソル積定理 / ボゾン化 / テンソル積分解 / 既約表現 … More / カッツ・ムーディ・スーパー群 / 無限次元スーパー代数群 / ボレル・ヴェイユの定理 / アフィン型Kac-Moody群 / 積分理論 / カッツ・ムーディ群 / Kac-Moody群 / 無限次元代数群 / 中心拡大 / 捻れループ群 / ループ群 / Kac-Moody 群 Less

A Hopf-algebraic approach to irreducible representations of algebraic supergroupsPrincipal Investigator
- Principal Investigator
  
  柴田大樹
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University of Science
Structure and Representations of Infinite-dimensional Algebraic SupergroupsPrincipal Investigator
- Principal Investigator
  
  Shibata Taiki
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Okayama University of Science

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations2023
- Author(s)
  Arturo Pianzola, Jun Morita, Taiki Shibata
- Journal Title
  
  Mathematical Journal of Okayama University
  
  Volume: 65 Pages: 35-81
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13905
[Journal Article] Frobenius Kernels of Algebraic Supergroups and Steinberg’s Tensor Product Theorem2023
- Author(s)
  Shibata Taiki
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 27 Issue: 1 Pages: 927-959
- DOI
  10.1007/s10468-023-10240-y
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13905
[Journal Article] Nakayama functors for coalgebras and their applications to Frobenius tensor categories2023
- Author(s)
  Shibata Taiki、Shimizu Kenichi
- Journal Title
  
  Advances in Mathematics
  
  Volume: 419 Pages: 108960-108960
- DOI
  10.1016/j.aim.2023.108960
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03520, KAKENHI-PROJECT-22K13905
[Journal Article] Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations2023
- Author(s)
  Arturo Pianzola, Jun Morita, Taiki Shibata
- Journal Title
  
  Mathematical Journal of Okayama University
  
  Volume: 65 Pages: 35-81
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Journal Article] Affine Kac-Moody groups and Lie algebras in the language of SGA32023
- Author(s)
  Arturo Pianzola, Jun Morita, Taiki Shibata
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 227 Issue: 7 Pages: 107331-107331
- DOI
  10.1016/j.jpaa.2023.107331
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517, KAKENHI-PROJECT-22K13905
[Journal Article] AFFINE KAC-MOODY GROUPS AS TWISTED LOOP GROUPS OBTAINED BY GALOIS DESCENT CONSIDERATIONS2022
- Author(s)
  Morita Jun、Pianzola Arturo、Shibata Taiki
- Journal Title
  
  The Mathematical Journal of Okayama University
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Journal Article] Affine algebraic super-groups with integral2021
- Author(s)
  Masuoka Akira、Shibata Taiki、Shimada Yuta
- Journal Title
  
  Communications in Algebra
  
  Volume: 50 Issue: 2 Pages: 615-634
- DOI
  10.1080/00927872.2021.1963758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14517, KAKENHI-PROJECT-20K03552
[Journal Article] Modified Traces and the Nakayama Functor2021
- Author(s)
  Shibata Taiki、Shimizu Kenichi
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: - Issue: 2 Pages: 513-551
- DOI
  10.1007/s10468-021-10102-5
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03520, KAKENHI-PROJECT-19K14517
[Journal Article] Categorical aspects of cointegrals on quasi-Hopf algebras2020
- Author(s)
  Shibata Taiki、Shimizu Kenichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 564 Pages: 353-411
- DOI
  10.1016/j.jalgebra.2020.08.012
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03520, KAKENHI-PROJECT-19K14517
[Journal Article] Borel-Weil theorem for algebraic supergroups2020
- Author(s)
  Shibata Taiki
- Journal Title
  
  Journal of Algebra
  
  Volume: 547 Pages: 179-219
- DOI
  10.1016/j.jalgebra.2019.11.019
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On root systems and Borel super-subgroups of algebraic supergroups2024
- Author(s)
  柴田大樹
- Organizer
  広島岡山代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On representations of split quasireductive supergroups2024
- Author(s)
  Taiki Shibata
- Organizer
  International Conference "Dualities in Quantum Groups"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On representation of algebraic (super)groups2023
- Author(s)
  Taiki Shibata
- Organizer
  広島岡山代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On classification of Hopf superalgebras2023
- Author(s)
  Taiki Shibata
- Organizer
  The Tenth Congress of Romanian Mathematicians: Hopf algebras, tensor categories and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] スーパー代数群の表現論2023
- Author(s)
  柴田大樹
- Organizer
  日本数学会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On representation of algebraic (super)groups2023
- Author(s)
  Taiki Shibata
- Organizer
  広島岡山代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On cohomologies of algebraic supergroups with odd reflections2023
- Author(s)
  柴田大樹
- Organizer
  第38回リー代数サマーセミナー
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] Affine Kac-Moody Groups as Twisted Loop Groups2022
- Author(s)
  Taiki Shibata
- Organizer
  The pursuit of symmetry: A conference in honour of the 80th birthday of Robert V. Moody
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On integrals of algebraic supergroups2022
- Author(s)
  Taiki Shibata
- Organizer
  Mini workshop on "Lie algebras, Hopf algebras and related topics"
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On classification of pointed Hopf superalgebras of low dimension2022
- Author(s)
  Taiki Shibata
- Organizer
  AMS Sectional Meeting; Special Session on Quantum Groups, Hopf Algebras and Applications: In honor of Professor Earl J. Taft
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On classification of pointed Hopf superalgebras of low dimension2022
- Author(s)
  Taiki Shibata, Ryota WAkao
- Organizer
  AMS Sectional Meeting; Special Session on Quantum Groups, Hopf Algebras and Applications: In honor of Professor Earl J. Taft
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Steinberg's tensor product decomposition theorem for algebraic supergroups2022
- Author(s)
  Taiki Shibata
- Organizer
  Toyama workshop on quantum groups and related topics
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On classification of pointed Hopf superalgebras of low dimension2022
- Author(s)
  Taiki Shibata
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On Frobenius kernels of algebraic supergroups2022
- Author(s)
  Taiki Shibata
- Organizer
  37th Summer Seminar on Lie Algebras
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Affine Kac-Moody Groups as Twisted Loop Groups2022
- Author(s)
  Taiki Shibata
- Organizer
  The pursuit of symmetry: A conference in honour of the 80th birthday of Robert V. Moody
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Steinberg's tensor product decomposition theorem for algebraic supergroups2022
- Author(s)
  Taiki Shibata
- Organizer
  Toyama workshop on quantum groups and related topics
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On Frobenius kernels of algebraic supergroups2022
- Author(s)
  Taiki Shibata
- Organizer
  37th Summer Seminar on Lie Algebras
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On classification of pointed Hopf superalgebras of low dimension2022
- Author(s)
  Taiki Shibata
- Organizer
  日本数学科秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13905
[Presentation] On Unimodularity of Frobenius Kernels of Algebraic Supergroups2021
- Author(s)
  Taiki Shibata
- Organizer
  36th Summer Seminar on Lie Algebras
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Borel-Weil theorem for algebraic supergroups2021
- Author(s)
  Taiki Shibata
- Organizer
  Suita Representation Theory Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] A Hopf algebraic approach to algebraic supergroups2021
- Author(s)
  Taiki Shibata
- Organizer
  OCAMI Algebra Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Algebraic Supergroups from a Hopf algebraic point of view (temp)2021
- Author(s)
  Taiki Shibata
- Organizer
  Lie (super)theory with focus on representations and applications (IPM)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Structure and representation of algebraic supergroups: a Hopf-algebraic approach2021
- Author(s)
  Taiki Shibata
- Organizer
  Lie (Super)Theory, Representations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On algebraic supergroups and their representations2020
- Author(s)
  Taiki Shibata
- Organizer
  "Algebra Seminar", University of Southern California
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] スーパー Hopf 代数の積分とスーパー商への応用について2020
- Author(s)
  柴田大樹
- Organizer
  Hopf Seminar Online
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] A Hopf-algebraic study of Quasireductive supergroups2020
- Author(s)
  Taiki Shibata
- Organizer
  The 2nd Meeting for Study of Number Theory, Hopf Algebras and Related Topics
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On odd reflections and algebraic supergroups2019
- Author(s)
  Taiki Shibata
- Organizer
  Tsukuba Workshop on Pure and Applied Mathematics 2019
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Typical representations for Chevalley supergroups of type I2019
- Author(s)
  Taiki Shibata
- Organizer
  MSJ Autumn Meeting 2019
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Algebraic supergroups and their representations over a field2019
- Author(s)
  Taiki Shibata
- Organizer
  International Workshop on Hopf Algebras and Tensor Categories
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] On irreducibility of induced modules and typical weights for algebraic supergroups2019
- Author(s)
  Taiki Shibata
- Organizer
  35th Summer Seminar on Lie Algebras
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517
[Presentation] Typical Irreducible Representations for GL(m|n) and Chevalley Supergroups of type I2019
- Author(s)
  Taiki Shibata
- Organizer
  Algebraic Lie Theory and Representations Theory (ALTReT) 2019
- Invited
- Data Source
  KAKENHI-PROJECT-19K14517

1. 清水健一

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

Shibata Taiki 柴田 大樹

Research Projects

Research Products

Co-Researchers

A Hopf-algebraic approach to irreducible representations of algebraic supergroupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Structure and Representations of Infinite-dimensional Algebraic SupergroupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations2023

Author(s)

Journal Title

Data Source

[Journal Article] Frobenius Kernels of Algebraic Supergroups and Steinberg’s Tensor Product Theorem2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Nakayama functors for coalgebras and their applications to Frobenius tensor categories2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations2023

Author(s)

Journal Title

Data Source

[Journal Article] Affine Kac-Moody groups and Lie algebras in the language of SGA32023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] AFFINE KAC-MOODY GROUPS AS TWISTED LOOP GROUPS OBTAINED BY GALOIS DESCENT CONSIDERATIONS2022

Author(s)

Journal Title

Data Source

[Journal Article] Affine algebraic super-groups with integral2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Modified Traces and the Nakayama Functor2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Categorical aspects of cointegrals on quasi-Hopf algebras2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Borel-Weil theorem for algebraic supergroups2020

Author(s)

Journal Title

DOI

Data Source

[Presentation] On root systems and Borel super-subgroups of algebraic supergroups2024

Author(s)

Organizer

Data Source

[Presentation] On representations of split quasireductive supergroups2024

Author(s)

Organizer

Data Source

[Presentation] On representation of algebraic (super)groups2023

Author(s)

Organizer

Data Source

[Presentation] On classification of Hopf superalgebras2023

Author(s)

Organizer

Data Source

[Presentation] スーパー代数群の表現論2023

Shibata Taiki 柴田大樹