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Keywords:
BiHom-Hopf algebra; BiHom-Yang-Baxter equation; $n$-monoidal category; Drinfeld double
BiHom-Hopf algebra; BiHom-Yang-Baxter equation; $n$-monoidal category; Drinfeld double
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.
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