Kostant's problem - I

Walter Mazorchuk (Glasgow)

Wednesday 6th February, 2008 16:00-17:00 214

Abstract

Let g be a finite-dimensional simple Lie algebra. A classical question of Kostant asks whether the universal enveloping algebra U(g) surjects onto the space of ad-finite linear endomorphisms of some g-module M. In this talk I will comment on the importance of this question and give a survey of classical results for highest weight modules, including a recent negative result for type A.

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