Tuesday, June 6, 14:00, 7.527

Christian Lomp (Porto), Locally finite dimensional representations over Noetherian Hopf algebras.

Abstract:
In this talk I will revise the theory of finite dimensional representations over some Noetherian Hopf algebras over a field of characteristic zero. Necessary and sufficient conditions are presented for the category of locally finite dimensional representations to be closed under taking injective hulls. Known results obtained by Donkin for group rings and enveloping algebras are extended to Ore extensions, Hopf crossed products, and affine Hopf algebras of low Gelfand-Kirillov dimension. This talk is based on a joint work with C.Hatipoglu, published in PAMS 2022.