| Title:
|
Automorphism group of representation ring of the weak Hopf algebra $\widetilde {H_8}$ (English) |
| Author:
|
Su, Dong |
| Author:
|
Yang, Shilin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
1131-1148 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $H_8$ be the unique noncommutative and noncocommutative eight dimensional semi-simple Hopf algebra. We first construct a weak Hopf algebra $\widetilde {H_8}$ based on $H_8$, then we investigate the structure of the representation ring of $\widetilde {H_8}$. Finally, we prove that the automorphism group of $r(\widetilde {H_8})$ is just isomorphic to $D_6$, where $D_6$ is the dihedral group with order 12. (English) |
| Keyword:
|
automorphism group |
| Keyword:
|
representation ring |
| Keyword:
|
weak Hopf algebra |
| MSC:
|
16W20 |
| MSC:
|
19A22 |
| idZBL:
|
Zbl 07031704 |
| idMR:
|
MR3881903 |
| DOI:
|
10.21136/CMJ.2018.0131-17 |
| . |
| Date available:
|
2018-12-07T06:25:22Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147528 |
| . |
| Reference:
|
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