One dimensional representations of finite W-algebras

Lewis Topley (University of East Anglia)

Wednesday 27th November, 2013 16:00-17:00 Maths 204

Abstract

A finite W-algebra is a filtered associative algebra constructed from the Lie algebra of a complex reductive group and a nilpotent element. Their one dimensional representations can be used to better understand a wide variety of classical objects: completely prime primitive ideals of enveloping algebras, quantisations of nilpotent orbits and modular representations of restricted Lie algebras. I shall talk about a joint work with Premet in which we classify the one dimensional representations when G is a classical group of type B, C or D.

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