| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2022-08-22T08:17:57Z |
| Last updated:
|
2024-10-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150611 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| . |
