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arXiv · 1502.07377

Constructing New Braided $T$-Categories via Weak Monoidal Hom-Hopf Algebras

Wei Wang·Shuanhong Wang·Xiaohui Zhang
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Abstract

In this paper, we define and study weak monoidal Hom-Hopf algebras, which generalize both weak Hopf algebras and monoidal Hom-Hopf algebras. If $H$ is a weak monoidal Hom-Hopf algebra with bijective antipode and let $Aut_{wmHH}(H)$ be the set of all automorphisms of $H$. Then we introduce a category ${_{H}\mathcal{WMHYD}^{H}}(\alpha,\beta)$ with $\alpha,\beta\in Aut_{wmHH}(H)$ and construct a braided $T$-category $\mathcal{WMHYD}(H)$ that having all the categories ${_{H}\mathcal{WMHYD}^{H}}(\alpha,\beta)$ as components.

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Wei Wang, Shuanhong Wang, Xiaohui Zhang. 2015-02-26. Constructing New Braided $T$-Categories via Weak Monoidal Hom-Hopf Algebras. https://arxiv.org/abs/1502.07377

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