Updated on 2025/04/04

写真a

 
HAYASHI, Takahiro
 
Organization
Graduate School of Mathematics Division of Mathematics Natural Mathematics Associate Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science
Title
Associate Professor
Contact information
メールアドレス

Degree 1

  1. Doctor of Science

Research Interests 4

  1. generalized group

  2. Tensor category

  3. Quantum group

  4. 部分的対称性

Research Areas 1

  1. Others / Other  / 代数学

Current Research Project and SDGs 1

  1. Representation Theory of Quantum Groups and Its Application

Education 2

  1. Nagoya University   Graduate School, Division of Natural Science

    - 1987

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    Country: Japan

  2. Nagoya University   Faculty of Science

    - 1985

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    Country: Japan

Professional Memberships 1

  1. 日本数学会

 

Papers 18

  1. A decomposition rule for certain tensor product representations of the symmetric groups Reviewed Open Access

    Takahiro Hayashi

    Journal ofAlgebra   Vol. 434   page: 46-64   2015.4

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jalgebra.2015.03.016

    Open Access

  2. *Coribbon Hopf (face) algebras generated by lattice models Reviewed Open Access

    Journal of Algebra   Vol. 233   page: 614-641   2000

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1006/jabr.2000.8439

    Open Access

  3. *A brief introduction to face algebras Invited Reviewed

    Takahiro Hayashi

    contemporary mathematics   Vol. 267   page: 161-176   2000

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  4. Galois quantum groups of II_1-subfactors Open Access

    Tohoku mathematical Journal   Vol. 51   page: 365-389   2000

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    Language:English  

    DOI: 10.2748/tmj/1178224768

    Open Access

  5. Face algebras and unitarity of $SU(N)_L$-TQFT Open Access

    Communication in Mathematical Physics   Vol. 203   page: 211-247   1999

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    Language:English  

    DOI: 10.1007/s002200050610

  6. Face algebras I- A gereralization of quantum group theory Open Access

    Journal of Mathematical society of Japan   Vol. 50 ( 2 ) page: 293-315   1998

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    Language:English  

    DOI: 10.2969/jmsj/05020293

    Open Access

  7. Quantum groups and quantum semigroups Open Access

    Journal of Algebra   Vol. 204   page: 225-254   1998

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    Language:English  

    DOI: 10.1006/jabr.1997.7355

    Open Access

  8. Compact quantum groups of face type Open Access

    Publications of the research institute for mathematical sciences   Vol. 32 ( 2 ) page: 351-369   1996

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    Language:English  

    DOI: 10.2977/prims/1195162967

    Open Access

  9. Face algebras and their Drinfeld doubles

    Proceedings of symposia in pure mathematics   Vol. 56 ( 2 ) page: 49-61   1994

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    Language:English  

  10. *Quantum group symmetry of partition functions of IRF models and its application to Jones' index theory Reviewed

    Communication in Mathematical Physics   Vol. 157   page: 331-345   1993

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/BF02099763

  11. Quantum groups and quantum determinants Open Access

    Journal of algebra   Vol. 152 ( 1 ) page: 146-165   1992

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  12. Quantum multilinear algebra Open Access

    Tohoku mathematical Journal   Vol. 44   page: 471-521   1992

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    Language:English  

    DOI: 10.2748/tmj/1178227246

    Open Access

  13. Non-existence of homomorphisms between quantum groups Open Access

    Tokyo Journal of Mathematics   Vol. 15 ( 2 ) page: 431-435   1992

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    Language:English  

    DOI: 10.3836/tjm/1270129467

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  14. Quantum deformation of Classical groups Open Access

    Publications of the Research Institute for Mathematical Sciences     page: 28   1992

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    Language:English  

    DOI: 10.2977/prims/1195168856

    Open Access

  15. An algebra related to fusion rules of Wess-Zumino-Witten models

    Letters in Mathematical Physics     page: 22   1991

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    Language:English  

    DOI: 10.1007/BF00405604

  16. *Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras Reviewed

    Communications in Mathematical Physics     page: 127   1990

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  17. *Sugawara operators and Kac-Kazhdan conjecture Reviewed

    Inventiones Mathematicae     page: 94   1988

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  18. Sugawara operators and their applications to Kac-Kazhdan conjecture Open Access

    Proceedings of the Japan Academy   Vol. 63   page: 9   1987

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    Language:English  

    DOI: 10.3792/pjaa.63.356

    Open Access

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Books 1

  1. A brief introduction to face algebras

    Contemporary Mathematics  2000 

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    Language:English

Presentations 5

  1. Partial Groups and Symmetry of non-connected Figures International conference

    Takahiro Hayashi

    Intuitive Geometry 2021  2021.3.6  Jinichi Ito

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Zoom   Country:Japan  

  2. Group-theoretical categories and representation theory of weak Hopf algebras

    Takahiro Hayashi

    Hopf algebras conference in Tsukuba 

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    Event date: 2016.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  3. Intertwiner algebras of G-algebras and their harmonic theory

    Takahiro Hayashi

    Hopf Algebras and Differential Galois Theory 

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    Event date: 2015.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  4. 群的弱ホップ代数

    研究集会「ホップ代数と量子群–応用の可能性」 

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    Event date: 2012.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所   Country:Japan  

  5. Group-like weak Hopf algebras and group-theoretical categories

    Takahiro Hayashi

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    Event date: 2010.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

 

Teaching Experience (On-campus) 11

  1. 線形代数学I

    2025

  2. 線形代数学II

    2025

  3. 基礎演習クラス

    2025

  4. 基礎演習クラス

    2021

  5. Foundations of Modern Mathematics AI

    2020

  6. Exercise in Mathematics VIII

    2020

  7. Exercise in Mathematics VII

    2020

  8. 線形代数学 Ⅱ

    2012

  9. 線形代数学 I

    2012

  10. College Mathematics I

    2011

  11. College Mathematics II

    2011

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Social Contribution 1

  1. 名大理学同窓会報

    Role(s):Editer

    名古屋大学理学同窓会