One dimensional representations of finite W-algebras
Lewis Topley (University of East Anglia)
Wednesday 27th November, 2013 16:00-17:00 Maths 204
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.