Good grading polytopes

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Let 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.
27 pages

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Quantum Algebra, 17B20

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http://salesiana.dossiersoluciones.com/handle/123456789/167013

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510205
 http://arxiv.org/abs/math/0510205
 Proc. London Math. Soc. 94 (2007), 155-180.

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arXiv