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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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