Tuesday, December 13, 14:00, 7.527
Julian Külshammer (Kiel),
Auslander-Reiten theory of Frobenius-Lusztig kernels.
Abstract:
In 1995 Erdmann showed that the Auslander-Reiten components of all wild
group algebras have the same tree class.
The Frobenius-Lusztig kernels form a class of finite dimensional symmetric
Hopf algebras, which are not cocommutative and in most cases wild. In this
talk we provide a survey on combinatorial and geometric methods to prove a
weak analogue of Erdmann's result for this class of algebras: The only
possible tree classes are the three infinite Dynkin diagrams and one tree
class seems to be most prominent.