Christian Lomp (Porto), Actions of Semisimple Hopf algebras on iterated Ore extensions.

Abstract:

Cuadra, Etingof and Walton have recently shown that any action of a semisimple Hopf algebra on a Weyl algebra over a field of characteristic zero factors through a group algebra. Analysing their proof we show that the same is true for semisimple Hopf algebra actions on iterated Ore extensions of derivation type and for actions on enveloping algebras of finite dimensional Lie algebras.