Updated on 2025/10/23
Doctor of Science
generalized group
Tensor category
Quantum group
部分的対称性
Symmetry in Figures
Others / Other / 代数学
Representation Theory of Quantum Groups and Its Application
Nagoya University Graduate School, Division of Natural Science
- 1987
Country： Japan
Nagoya University Faculty of Science
- 1985
Country： Japan
日本数学会
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
*Coribbon Hopf (face) algebras generated by lattice models Reviewed Open Access
Journal of Algebra Vol. 233 page： 614-641 2000
*A brief introduction to face algebras Invited Reviewed
Takahiro Hayashi
contemporary mathematics Vol. 267 page： 161-176 2000
Galois quantum groups of II_1-subfactors Open Access
Tohoku mathematical Journal Vol. 51 page： 365-389 2000
Face algebras and unitarity of $SU(N)_L$-TQFT Open Access
Communication in Mathematical Physics Vol. 203 page： 211-247 1999
Face algebras I- A gereralization of quantum group theory Open Access
Journal of Mathematical society of Japan Vol. 50 ( 2 ) page： 293-315 1998
Quantum groups and quantum semigroups Open Access
Journal of Algebra Vol. 204 page： 225-254 1998
Compact quantum groups of face type Open Access
Publications of the research institute for mathematical sciences Vol. 32 ( 2 ) page： 351-369 1996
Face algebras and their Drinfeld doubles
Proceedings of symposia in pure mathematics Vol. 56 ( 2 ) page： 49-61 1994
*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
Quantum groups and quantum determinants Open Access
Journal of algebra Vol. 152 ( 1 ) page： 146-165 1992
Quantum multilinear algebra Open Access
Tohoku mathematical Journal Vol. 44 page： 471-521 1992
Non-existence of homomorphisms between quantum groups Open Access
Tokyo Journal of Mathematics Vol. 15 ( 2 ) page： 431-435 1992
Quantum deformation of Classical groups Open Access
Publications of the Research Institute for Mathematical Sciences page： 28 1992
An algebra related to fusion rules of Wess-Zumino-Witten models
Letters in Mathematical Physics page： 22 1991
*Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras Reviewed
Communications in Mathematical Physics page： 127 1990
*Sugawara operators and Kac-Kazhdan conjecture Reviewed
Inventiones Mathematicae page： 94 1988
Sugawara operators and their applications to Kac-Kazhdan conjecture Open Access
Proceedings of the Japan Academy Vol. 63 page： 9 1987
A brief introduction to face algebras
Contemporary Mathematics 2000
Partial Group Symmetry in Figures Invited
2025.8.24
Partial Groups and Symmetry of non-connected Figures International conference
Takahiro Hayashi
Intuitive Geometry 2021 2021.3.6 Jinichi Ito
Group-theoretical categories and representation theory of weak Hopf algebras
Takahiro Hayashi
Hopf algebras conference in Tsukuba
Intertwiner algebras of G-algebras and their harmonic theory
Takahiro Hayashi
Hopf Algebras and Differential Galois Theory
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」
Group-like weak Hopf algebras and group-theoretical categories
Takahiro Hayashi
線形代数学I
2025
線形代数学II
2025
基礎演習クラス
2025
基礎演習クラス
2021
Foundations of Modern Mathematics AI
2020
Exercise in Mathematics VIII
2020
Exercise in Mathematics VII
2020
線形代数学 Ⅱ
2012
線形代数学 I
2012
College Mathematics I
2011
College Mathematics II
2011
名大理学同窓会報
Role(s)：Editer
名古屋大学理学同窓会
