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arXiv · 1409.6936

Another construction of the braided $T$-category

Tao Yang·Xiaoyan Zhou
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Abstract

This paper introduces group-cograded monoidal Hom-Hopf algebras, and shows that this kind of group-cograded monoidal Hom-Hopf algebras are monoidal Hom-Hopf algebras in the Turaev category $\mathcal{J}_{k}$ introduced by Canepeel and De Lombaerde. Then we define the $p$-Yetter-Drinfeld category over a group-cograded monoidal Hom-Hopf algebra, and construct a new kind of braided $T$-categories.

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Tao Yang, Xiaoyan Zhou. 2016-06-28. Another construction of the braided $T$-category. https://doi.org/10.1142/s0219498817500359

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