Good grading polytopes

Details Good grading polytopes Good grading polytopes

2005-10-10

arxiv.org/abs/math/0510205v1

Proc. London Math. Soc. 94 (2007), 155-180.

Mathematics

Quantum Algebra

27 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Good grading polytopes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Good grading polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Good grading polytopes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48972