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arXiv · 1512.01357

More properties of Yetter-Drinfeld category over dual quasi-Hopf algebras

Daowei Lu·Xiaohui Zhang·Dingguo Wang
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Abstract

Let $H$ be a dual quasi-Hopf algebra. In this paper we will firstly introduce all possible categories of Yetter-Drinfeld modules over $H$, and give explicitly the monoidal and braided structure of them. Then we prove that the category $^H_H\mathcal{YD}^{fd}$ of finite-dimensional left-left Yetter-Drinfeld modules is rigid. Finally we will study the braided cocommunitivity of $H_0$ in $^H_H\mathcal{YD}$.

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Daowei Lu, Xiaohui Zhang, Dingguo Wang. 2015-12-04. More properties of Yetter-Drinfeld category over dual quasi-Hopf algebras. https://arxiv.org/abs/1512.01357

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