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)Add to your list(s) Download to your calendar using vCal - Simon Goodwin, University of Birmingham
- Thursday 13 March 2014, 16:00-17:00
- Watson Building, Lecture Room A.
If you have a question about this talk, please contact David Craven. A W -algebra e) is a certain associative algebras associated a Lie (super)algebra and a nilpotent element ge in . The representation theory of gU(,ge) has close connections with the representation theory of the universal enveloping algebra U() 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(gm|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. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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