Whittaker Modules for Graded Lie Algebras

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dc.creatorWang, Bin
dc.date2009-02-22
dc.date2009-03-04
dc.date.accessioned2026-07-07T12:48:31Z
dc.date.available2026-07-07T12:48:31Z
dc.descriptionIn this paper, we study Whittaker modules for graded Lie algebras. We define Whittaker modules for a class of graded Lie algebras and obtain a bijective correspondence between the set of isomorphism classes of Whittaker modules and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra. As a consequence of this, we obtain a classification of simple Whittaker modules for such algebras. Also, we study some concrete algebras as examples.
dc.description11pages, fixed a number of errors
dc.identifierhttps://arxiv.org/abs/0902.3801
dc.identifierhttp://arxiv.org/abs/0902.3801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222082
dc.subjectRepresentation Theory
dc.subject17B10; 17B10; 17B68
dc.titleWhittaker Modules for Graded Lie Algebras
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