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

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 ${}_H^H\mathcal{YD}$.

References in corpus (1)

• Quiver Approaches to Quasi-Hopf Algebras