Title: | Remarks on Sekine quantum groups (English) |
Author: | Chen, Jialei |
Author: | Yang, Shilin |
Language: | English |
Journal: | Czechoslovak Mathematical Journal |
ISSN: | 0011-4642 (print) |
ISSN: | 1572-9141 (online) |
Volume: | 72 |
Issue: | 3 |
Year: | 2022 |
Pages: | 695-707 |
Summary lang: | English |
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Category: | math |
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Summary: | We first describe the Sekine quantum groups $\mathcal {A}_{k}$ (the finite-dimensional Kac algebra of Kac-Paljutkin type) by generators and relations explicitly, which maybe convenient for further study. Then we classify all irreducible representations of $\mathcal {A}_{k}$ and describe their representation rings $r(\mathcal {A}_{k})$. Finally, we compute the the Frobenius-Perron dimension of the Casimir element and the Casimir number of $r(\mathcal {A}_{k})$. (English) |
Keyword: | Sekine quantum group |
Keyword: | representation ring |
Keyword: | Casimir number |
MSC: | 16D70 |
MSC: | 16G10 |
MSC: | 16T05 |
idZBL: | Zbl 07584096 |
idMR: | MR4467936 |
DOI: | 10.21136/CMJ.2022.0112-21 |
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Date available: | 2022-08-22T08:17:57Z |
Last updated: | 2022-12-27 |
Stable URL: | http://hdl.handle.net/10338.dmlcz/150611 |
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