Onedimensional representations of Walgebras
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If you have a question about this talk, please contact Mustapha Amrani.
Algebraic Lie Theory
Premet conjectured that any (finite) Walgebra has a onedimensional 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 BrundanGoodwinKleshchev category O one can try to describe onedimensional representations of Walgebras associated to rigid elements in exceptional Lie algebras.
This talk is part of the Isaac Newton Institute Seminar Series series.
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