University of Birmingham > Talks@bham > Algebra seminar  > Whittaker coinvariants in category O for gl(m|n)

Whittaker coinvariants in category O for gl(m|n)

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A W -algebra U(g,e) is a certain associative algebras associated a Lie (super)algebra g and a nilpotent element e in g. The representation theory of U(g,e) has close connections with the representation theory of the universal enveloping algebra U(g) of g. We’ll give some background on the theory of W-algebras before considering the case of the principal W-algebra for the general linear Lie superalgebra gl(m|n). Then we’ll explain how the Whittaker coinvariants functor relates category O for gl(m|n) to the category of finite dimensional modules for this W-algebra. This is joint work with J. Brundan and J. Brown.

This talk is part of the Algebra seminar series.

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