Rchr
J-GLOBAL ID：201601018521792477
Update date: Apr. 01, 2024
Shibata Taiki
シバタ タイキ | Shibata Taiki
Affiliation and department：
Job title：
Research Associate
Homepage URL (2)：
https://sites.google.com/site/mathshibata
,
https://www.researchgate.net/profile/Taiki_Shibata
Research field (1)：
Algebra
Research keywords (11)：
Kac-Moody algebras
, Infinite-dimensional Lie groups
, Lie gorups
, Lie superalgebras
, Quantum groups
, Infinite-dimensional Lie algebras
, Representation theory
, Algebraic supergroups
, Hopf algebras
, Algebraic groups
, Lie algebras
Research theme for competitive and other funds (5)：
- 2022 - 2026 A Hopf-algebraic approach to irreducible representations of algebraic supergroups
- 2019 - 2022 Structure and Representations of Infinite-dimensional Algebraic Supergroups
- 2016 - 2017 Infinite-Dimensional Supergroups
- 2014 - 2016 Hopf algebraic study of algebraic supergroups
- 2013 - 2014 Hopf algebraic study of algebraic supergroups
Papers (14)：
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Taiki Shibata. Frobenius Kernels of Algebraic Supergroups and Steinberg’s Tensor Product Theorem. Algebras and Representation Theory. 2023. 27. 1. 927-959
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Jun Morita, Arturo Pianzola, Taiki Shibata. Affine Kac-Moody groups and Lie algebras in the language of SGA3. Journal of Pure and Applied Algebra. 2023. 227. 7. 107331-107331
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Taiki Shibata, Kenichi Shimizu. Nakayama functors for coalgebras and their applications to Frobenius tensor categories. Advances in Mathematics. 2023. 419. 108960-108960
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Arturo Pianzola, Jun Morita, Taiki Shibata. Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations. Mathematical Journal of Okayama University. 2023. 65. 35-81
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Akira Masuoka, Taiki Shibata, Yuta Shimada. Affine algebraic super-groups with integral. Communications in Algebra. 2022. 50. 2. 615-634
ｍore...
MISC (5)：
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Taiki Shibata, Kenichi Shimizu, Ryota Wakao. Pointed Hopf superalgebras of dimension up to 10. arXiv. 2023. 2306.12637
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Taiki Shibata, Ryota Wakao. On classification of Hopf superalgebras of low dimension. arXiv. 2023. 2306.04122
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Taiki Shibata, Kenichi Shimizu. Exact sequences of Frobenius tensor categories. arXiv. 2023. 2303.14687
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Taiki Shibata. Algebraic supergroups and their representations. Contemporary Mathematics. 2021. 771. 255-266
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SHIBATA Taiki. Supergroups over $\mathbb{Z}$ (Hopf algebras and quantum groups : their possible applications). RIMS Kokyuroku. 2013. 1840. 149-164
Lectures and oral presentations (51)：
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Representations of algebraic supergroups
(MSJ Autumn Meeting 2023 2023)
-
On cohomologies of algebraic supergroups with odd reflections
(38th Summer Seminar on Lie Algebras 2023)
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On classification of Hopf superalgebras
(The Tenth Congress of Romanian Mathematicians: Hopf algebras, tensor categories and related topics 2023)
-
On root systems of algebraic supergroups
(Shibaura Algebra Seminar 2023)
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On representation of algebraic (super)groups
(Hiroshima-Okayama Algebra seminar 2023)
ｍore...
Education (3)：
- 2013 - 2016 University of Tsukuba Graduate School of Pure and Applied Sciences Mathematics (Doctoral degree)
- 2011 - 2013 University of Tsukuba Graduate School of Pure and Applied Sciences Mathematics (Master's degree)
- 2007 - 2011 University of Tsukuba School of Science and Engineering Mathematics
Professional career (1)：
- Ph.D. (Science) (University of Tsukuba)
Work history (5)：
- 2021/04 - 現在 Okayama University of Science Faculty of Science Department of Applied Mathematics Lecturer
- 2017/04 - 2021/03 Okayama University of Science Department of Applied Mathematics Research Associate
- 2016/08 - 2017/03 University of Alberta Mathematical and Statistical Sciences Postdoctoral Fellow
- 2016/04 - 2016/06 University of Tsukuba Faculty of Pure and Applied Sciences Researcher (Non-Full-Time)
- 2014/04 - 2016/03 Japan Society for the Promotion of Science (JSPS) Research Fellowships for Young Scientists (DC2)
Awards (3)：
- 2016/03 - University of Tsukuba The Provost Prize for Graduate School of Pure and Applied Sciences
- 2013/03 - University of Tsukuba The Provost Prize for Graduate School of Pure and Applied Sciences
- 2011/03 - University of Tsukuba The Provost Prize for School of Science and Engineering
Association Membership(s) (2)：
THE MATHEMATICAL SOCIETY OF JAPAN
, American Mathematical Society
