A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the nite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the case where g is of exceptional type and e lies in...

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Bibliographic Details
Main Author: Ubly, Glenn
Other Authors: Koeck, Bernhard
Published: University of Southampton 2010
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.518577