Multiplicity-free primitive ideals and W-algebras

31 October 2017
14:15
Alexander Premet
Abstract

In my talk I will explain how to relate 1-dimensional representations of finite W-algebras with multiplicity free primitive ideals of universal enveloping algebras and representations of minimal dimension of the corresponding reduced enveloping algebras (Humphreys' conjecture). I will also mention some open problems in the field.