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arXiv · 1404.1296

Covariant Bimodules Over Monoidal Hom-Hopf Algebras

Serkan Karaçuha
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Abstract

Covariant Hom-bimodules are introduced and the structure theory of them in the Hom-setting is studied in a detailed way. The category of bicovariant Hom-bimodules is proved to be a (pre)braided monoidal category and its structure theory is also provided in coordinate form. The notion of Hom-Yetter-Drinfel'd modules is presented and it is shown that the category of Hom-Yetter-Drinfel'd modules is a (pre)braided tensor category as well. As one of the main results, a (pre)braided monoidal equivalence between these tensor categories is verified, which extends the fundamental theorem of Hom-Hopf modules.

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BibTeXRIS

Serkan Karaçuha. 2014-04-04. Covariant Bimodules Over Monoidal Hom-Hopf Algebras. https://arxiv.org/abs/1404.1296

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