Article
| Title: | Parametric representations of BiHom-Hopf algebras (English) |
| Author: | Zhang, Xiaohui |
| Author: | Wang, Wei |
| Author: | Chen, Juzhen |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 1 |
| Year: | 2024 |
| Pages: | 45-86 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | The main purpose of the present paper is to study representations of BiHom-Hopf algebras. We first introduce the notion of BiHom-Hopf algebras, and then discuss BiHom-type modules, Yetter-Dinfeld modules and Drinfeld doubles with parameters. We get some new $n$-monoidal categories via the category of BiHom-(co)modules and the category of BiHom-Yetter-Drinfeld modules. Finally, we obtain a center construction type theorem on BiHom-Hopf algebras. (English) |
| Keyword: | BiHom-Hopf algebra |
| Keyword: | BiHom-Yang-Baxter equation |
| Keyword: | $n$-monoidal category |
| Keyword: | Drinfeld double |
| MSC: | 16T25 |
| MSC: | 16T99 |
| MSC: | 16W10 |
| DOI: | 10.21136/CMJ.2023.0213-22 |
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| Date available: | 2024-03-13T10:03:34Z |
| Last updated: | 2024-03-18 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152268 |
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