Good grading polytopes

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dc.creatorBrundan, Jonathan
dc.creatorGoodwin, Simon M.
dc.date2005-10-10
dc.date.accessioned2026-07-07T09:56:33Z
dc.date.available2026-07-07T09:56:33Z
dc.descriptionLet g be a finite dimensional semisimple Lie algebra over C and e be a nilpotent element. Elashvili and Kac have recently classified all good Z-gradings for e. We instead consider good R-gradings, which are naturally parameterized by an open convex polytope in a Euclidean space arising from the reductive part of the centralizer of e in g. As an application, we prove that the isomorphism type of the finite W-algebra attached to a good R-grading for e is independent of the particular choice of good grading.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0510205
dc.identifierhttp://arxiv.org/abs/math/0510205
dc.identifierProc. London Math. Soc. 94 (2007), 155-180.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167013
dc.subjectQuantum Algebra
dc.subject17B20
dc.titleGood grading polytopes
dc.typetext

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