Article
| Title: | A class of quantum doubles of pointed Hopf algebras of rank one (English) |
| Author: | Sun, Hua |
| Author: | Li, Yueming |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 1319-1331 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We construct a class of quantum doubles $D(H_{D_n})$ of pointed Hopf algebras of rank one $H_{\mathcal {D}}$. We describe the algebra structures of $D(H_{D_n})$ by generators with relations. Moreover, we give the comultiplication $\Delta _{D}$, counit $\varepsilon _D$ and the antipode $S_{D}$, respectively. (English) |
| Keyword: | pointed Hopf algebra |
| Keyword: | quantum double |
| Keyword: | rank one |
| MSC: | 16G30 |
| MSC: | 16T05 |
| DOI: | 10.21136/CMJ.2023.0015-23 |
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| Date available: | 2023-11-23T12:29:50Z |
| Last updated: | 2023-11-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151962 |
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