Report 1：
Title： Finite dimensional quasi-Hopf algebras of finite Cartan type
Speaker：Prof. Yinhuo Zhang
From： University of Hasselt, Belgium
Time：3:30pm-4:30pm, 10 Sept
Abstract：
In this paper, we present a general method for constructing finite-dimensional quasi-Hopf algebras from finite abelian groups and braided vector spaces of Cartan type. The study of such quasi-Hopf algebras leads to the classification of finite-dimensional radically graded basic quasi-Hopf algebras over abelian groups with dimensions not divisible by $2,3,5,7$ and associators given by abelian $3$-cocycles. As special cases , the small quasi-quantum groups are introduced and studied. Many new explicit examples of finite-dimensional genuine quasi-Hopf algebras are obtained.
