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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > One-dimensional representations of W-algebras

## One-dimensional representations of W-algebrasAdd to your list(s) Download to your calendar using vCal - Losev, IV (Massachusetts Institute of Technology)
- Friday 26 June 2009, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Algebraic Lie Theory Premet conjectured that any (finite) W-algebra has a one-dimensional representation. The goal of this talk is to explain results of the speaker towards this conjecture. We will start giving a sketch of proof for the classical Lie algebras. Then we explain a reduction to rigid nilpotent elements using a parabolic induction functor. Finally, we will explain how using the Brundan-Goodwin-Kleshchev category O one can try to describe one-dimensional representations of W-algebras associated to rigid elements in exceptional Lie algebras. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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