title: finite dimensional quasi-hopf algebras of finite cartan type
speaker: pro. yinhuo zhang, hasselt university, belgium
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.
