Alexander Premet, Lecture IV - 29 January 2015
Channel: SNS Sciences
Date: 2015-02-12

Alexander Premet (University of Manchester) - Lecture IV
http://www.crm.sns.it/course/4035/

Let G be a simple algebraic group over ℂ with Lie algebra 𝔤 and let e be a nilpotent element of 𝔤. The aim of this lecture course will be the interplay between finite dimensional irreducible representations of the finite W-algebra U(𝔤,e) and primitive ideals of the universal enveloping algebra U(𝔤) whose associate variety coincides with the Zariski closure of the adjoint G-orbit of e. Some applications to the representation theory of the modular counterpart of 𝔤 will also be discussed.