Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras
In this paper, we give two general formulae for the Müger centralizers in the category of representations of a semisimple quasitriangular Hopf algebra. The first formula is given in terms of the Drinfeld map associated with the quasitriangular Hopf algebra. The second formula for the Müger centraliz...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
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| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210711 |
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| Cite this: | Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras. Sebastian Burciu. SIGMA 16 (2020), 039, 20 pages |
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Burciu, Sebastian 2025-12-15T15:26:52Z 2020 Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras. Sebastian Burciu. SIGMA 16 (2020), 039, 20 pages 1815-0659 2020 Mathematics Subject Classification: 18D10; 16T05; 19D23 arXiv:1709.02176 https://nasplib.isofts.kiev.ua/handle/123456789/210711 https://doi.org/10.3842/SIGMA.2020.039 In this paper, we give two general formulae for the Müger centralizers in the category of representations of a semisimple quasitriangular Hopf algebra. The first formula is given in terms of the Drinfeld map associated with the quasitriangular Hopf algebra. The second formula for the Müger centralizer is given in terms of the conjugacy classes introduced by Cohen and Westreich in [J. Algebra 283 (2005), 42-62]. In the case of a factorizable Hopf algebra, these formulae extend some particular cases obtained by the author in [Math. Z. 279 (2015), 227-240]. This research was supported by a grant from the Romanian Ministry of Research and Innovation, CNCS-UEFISCDI, Project No. PN-III-P4-ID-PCE-2016-0157, within PNCDI III. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras |
| spellingShingle |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras Burciu, Sebastian |
| title_short |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras |
| title_full |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras |
| title_fullStr |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras |
| title_full_unstemmed |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras |
| title_sort |
representations and conjugacy classes of semisimple quasitriangular hopf algebras |
| author |
Burciu, Sebastian |
| author_facet |
Burciu, Sebastian |
| publishDate |
2020 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In this paper, we give two general formulae for the Müger centralizers in the category of representations of a semisimple quasitriangular Hopf algebra. The first formula is given in terms of the Drinfeld map associated with the quasitriangular Hopf algebra. The second formula for the Müger centralizer is given in terms of the conjugacy classes introduced by Cohen and Westreich in [J. Algebra 283 (2005), 42-62]. In the case of a factorizable Hopf algebra, these formulae extend some particular cases obtained by the author in [Math. Z. 279 (2015), 227-240].
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210711 |
| citation_txt |
Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras. Sebastian Burciu. SIGMA 16 (2020), 039, 20 pages |
| work_keys_str_mv |
AT burciusebastian representationsandconjugacyclassesofsemisimplequasitriangularhopfalgebras |
| first_indexed |
2025-12-17T12:04:33Z |
| last_indexed |
2025-12-17T12:04:33Z |
| _version_ |
1851756981450178560 |