Vinberg's θ-groups in positive characteristic and Kostant-Weierstrass slices

Details Vinberg's θ-groups in positive characteristic and Kostant-Weierstrass slices Vinberg's θ-groups in positive characteristic and Kostant-Weierstrass slices

2007-12-11

arxiv.org/abs/0712.1725v3

Mathematics

Algebraic Geometry

36 pages. Some proofs improved, one or two references added

Scientific paper

We generalize the basic results of Vinberg's \theta-groups, or periodically graded reductive Lie algebras, to fields of good positive characteristic. To this end we clarify the relationship between the little Weyl group and the (standard) Weyl group. We deduce that the ring of invariants associated to the grading is a polynomial ring. This approach allows us to prove the existence of a KW-section for a classical graded Lie algebra (in zero or good characteristic), confirming a conjecture of Popov in this case.

Affiliated with

Also associated with

No associations

Rating

Vinberg's θ-groups in positive characteristic and Kostant-Weierstrass slices 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 Vinberg's θ-groups in positive characteristic and Kostant-Weierstrass slices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vinberg's θ-groups in positive characteristic and Kostant-Weierstrass slices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474418