Shimizu Kenichi 清水健一

… Alternative Names

清水健一シミズケンイチ

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Researcher Number	70624302
Other IDs
Affiliation (Current)	2025: 芝浦工業大学, システム理工学部, 准教授
Affiliation (based on the past Project Information) *help	2019 – 2024: 芝浦工業大学, システム理工学部, 准教授 2016 – 2018: 芝浦工業大学, システム理工学部, 助教 2012: 筑波大学, 数理物質科学研究科(系), 研究員
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator テンソル圏 / ホップ代数 / 中山関手 / 代数学 / モジュラーテンソル圏

Research Projects
(4 results)
Research Products
(41 results)

Hopf algebraic approach to the study of the Nakayama functor and its application to tensor categoriesPrincipal Investigator
- Principal Investigator
  
  清水健一
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Shibaura Institute of Technology
Study of algebraic methods for Morita dual of finite tensor categories and related algebraic structuresPrincipal Investigator
- Principal Investigator
  
  Shimizu Kenichi
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Shibaura Institute of Technology
Study of integrals, Fourier transforms and characters in tensor categoriesPrincipal Investigator
- Principal Investigator
  
  Shimizu Kenichi
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Shibaura Institute of Technology
組みひも圏とホップ代数のゲージ不変量の研究Principal Investigator
- Principal Investigator
  
  清水健一
- Project Period (FY)
  2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba

All 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Ribbon structures of the Drinfeld center of a finite tensor category2023
- Author(s)
  Shimizu Kenichi
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 46 Issue: 1 Pages: 75-114
- DOI
  10.2996/kmj46106
- ISSN
  0386-5991, 1881-5472
- Year and Date
  2023-03-15
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03520
[Journal Article] Pivotal structures of the Drinfeld center of a finite tensor category2023
- Author(s)
  Shimizu Kenichi
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 227 Issue: 7 Pages: 107321-107321
- DOI
  10.1016/j.jpaa.2023.107321
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03520
[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] Relative Serre functor for comodule algebras2023
- Author(s)
  Shimizu Kenichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 634 Pages: 237-305
- DOI
  10.1016/j.jalgebra.2023.07.015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03520
[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] Further Results on the Structure of (Co)Ends in Finite Tensor Categories2020
- Author(s)
  Shimizu Kenichi
- Journal Title
  
  Applied Categorical Structures
  
  Volume: 28 Issue: 2 Pages: 237-286
- DOI
  10.1007/s10485-019-09577-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17568
[Journal Article] Non-degeneracy conditions for braided finite tensor categories2019
- Author(s)
  Shimizu Kenichi
- Journal Title
  
  Advances in Mathematics
  
  Volume: 355 Pages: 106778-106778
- DOI
  10.1016/j.aim.2019.106778
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17568
[Journal Article] Recent developments of the categorical Verlinde formula2019
- Author(s)
  Kenichi Shimizu
- Journal Title
  
  Proceedings of Meeting for Study of Number Theory, Hopf Algebras and Related Topics
  
  Volume: 1 Pages: 197-222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17568
[Journal Article] Integrals for Finite Tensor Categories2018
- Author(s)
  Shimizu Kenichi
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 1 Issue: 2 Pages: 459-493
- DOI
  10.1007/s10468-018-9777-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17568
[Journal Article] The relative modular object and Frobenius extensions of finite Hopf algebras2017
- Author(s)
  Kenichi Shimizu
- Journal Title
  
  Journal of Algebra
  
  Volume: 471 Pages: 75-112
- DOI
  10.1016/j.jalgebra.2016.09.017
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17568
[Journal Article] The monoidal center and the character algebra2017
- Author(s)
  Kenichi Shimizu
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 221 Issue: 9 Pages: 2338-2371
- DOI
  10.1016/j.jpaa.2016.12.037
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17568
[Journal Article] On Unimodular Finite Tensor Categories2017
- Author(s)
  Kenichi Shimizu
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 2017 Pages: 277-322
- DOI
  10.1093/imrn/rnv394
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] The Nakayama functor and the integral theory for Hopf algebras2023
- Author(s)
  Kenichi Shimizu
- Organizer
  Hopf Days in Brussels 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Applications of the Nakayama functor to tensor categories2023
- Author(s)
  Kenichi Shimizu
- Organizer
  10th Congress of Romanian Mathematicians
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] 双対テンソル圏の中山関手の公式2022
- Author(s)
  清水健一
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] 二重ボゾン化について2022
- Author(s)
  清水健一
- Organizer
  Toyama Workshop on Quantum Groups and Related Topics
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Nakayama functors for Frobenius tensor categories2022
- Author(s)
  Kenichi Shimizu
- Organizer
  Conference on Algebraic Representation Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Nakayama functor for coalgebras2022
- Author(s)
  Kenichi Shimizu
- Organizer
  International Workshop on Hopf Algebras
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] 非半単純モジュラーテンソル圏2022
- Author(s)
  清水健一
- Organizer
  代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Nakayama functors for Frobenius tensor categories2021
- Author(s)
  Kenichi Shimizu
- Organizer
  RIMS表現論セミナー
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] FRT type construction of Hopf algebroids2021
- Author(s)
  Kenichi Shimizu
- Organizer
  Advances in Hopf Algebroids
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] 中山関手とその応用 I, II2021
- Author(s)
  Kenichi Shimizu
- Organizer
  Mini workshop on "Lie algebras, Hopf algebras and related topics"
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Remarks on the categorical Radford S4 formula2021
- Author(s)
  Kenichi Shimizu
- Organizer
  第36回リー代数サマーセミナー
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Modified traces and the Nakayama functor2021
- Author(s)
  Kenichi Shimizu
- Organizer
  OCAMI代数セミナー
- Data Source
  KAKENHI-PROJECT-20K03520
[Presentation] Recent developments of non-semisimple modular tensor categories2020
- Author(s)
  Kenichi Shimizu
- Organizer
  Geometry, Topology and Categorification Seminar
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Categorical aspects of cointegrals on quasi-Hopf algebras2020
- Author(s)
  Kenichi Shimizu
- Organizer
  The 2nd Meeting for Study of Number theory, Hopf algebras and related topics
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Relative Serre functors in Hopf algebra theory2019
- Author(s)
  Kenichi Shimizu
- Organizer
  Hopf-Algebra Conference in Tsukuba 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] A description of the relative Serre functor for comodule algebras2019
- Author(s)
  Kenichi Shimizu
- Organizer
  AMS Joint Mathematics Meetings 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Action functor formalism2019
- Author(s)
  Kenichi Shimizu
- Organizer
  The Eighth China-Japan-Korea International Symposium on Ring Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Class functions and the action functor2019
- Author(s)
  Kenichi Shimizu
- Organizer
  International Workshop on Hopf Algebras and Tensor Categories
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Hochschild cohomology of finite tensor categories2018
- Author(s)
  Kenichi Shimizu
- Organizer
  Workshop Tensor categories, Hopf algebras and quantum groups
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Class functions of tensor categories2018
- Author(s)
  Kenichi Shimizu
- Organizer
  AMS Sectional Meeting, Special Session on Tensor Categories and Diagrammatic Methods, Vanderbilt
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Coends in finite tensor categories2018
- Author(s)
  Kenichi Shimizu
- Organizer
  RIMS Workshop Vertex Operator Algebras and Symmetries
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] 非半単純なモジュラーテンソル圏に関する最近の展開2018
- Author(s)
  清水健一
- Organizer
  日本数学会年会(代数学分科会特別講演)
- Invited
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Integral theory in finite tensor categories2017
- Author(s)
  Kenichi Shimizu
- Organizer
  AMS Joint Mathematics Meeting
- Place of Presentation
  Atlanta, USA
- Year and Date
  2017-01-04
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] 圏論的フェアリンデ公式と関連する最近の話題2017
- Author(s)
  清水健一
- Organizer
  Meeting for Study of Number theory, Hopf algebras and related topics
- Place of Presentation
  富山大学(富山県)
- Year and Date
  2017-02-12
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Integral theory for finite tensor categories2017
- Author(s)
  Kenichi Shimizu
- Organizer
  Workshop and school on "Tensor categories and topological quantum matter"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Recent results on non-simple modular tensor categories2017
- Author(s)
  Kenichi Shimizu
- Organizer
  Workshop VOA and related topics
- Place of Presentation
  大阪大学(大阪府)
- Year and Date
  2017-03-15
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Recent results on non-simple modular tensor categories2016
- Author(s)
  Kenichi Shimizu
- Organizer
  Hopf algebras and Tensor categories
- Place of Presentation
  Chern Institute of Mathematics, Nankai University, Tianjin, China
- Year and Date
  2016-09-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568
[Presentation] Integrals for Hopf algebras -from a tensor-categorical viewpoint-2016
- Author(s)
  Kenichi Shimizu
- Organizer
  Hopf Algebra Conference in Tsukuba
- Place of Presentation
  Tsukuba International Congress Center, Tsukuba, Ibaraki, Japan
- Year and Date
  2016-09-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17568

Shimizu Kenichi 清水 健一

清水 健一 シミズ ケンイチ

Research Projects

Research Products

Hopf algebraic approach to the study of the Nakayama functor and its application to tensor categoriesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of algebraic methods for Morita dual of finite tensor categories and related algebraic structuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of integrals, Fourier transforms and characters in tensor categoriesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

組みひも圏とホップ代数のゲージ不変量の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Ribbon structures of the Drinfeld center of a finite tensor category2023

Author(s)

Journal Title

DOI

ISSN

Year and Date

Language

Data Source

[Journal Article] Pivotal structures of the Drinfeld center of a finite tensor category2023

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] Relative Serre functor for comodule algebras2023

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] Further Results on the Structure of (Co)Ends in Finite Tensor Categories2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Non-degeneracy conditions for braided finite tensor categories2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Recent developments of the categorical Verlinde formula2019

Author(s)

Journal Title

Data Source

[Journal Article] Integrals for Finite Tensor Categories2018

Author(s)

Journal Title

DOI

Data Source

Shimizu Kenichi 清水健一

清水健一シミズケンイチ