Computing with nilpotent orbits in simple Lie algebras of exceptional type

Details Computing with nilpotent orbits in simple Lie algebras of exceptional type Computing with nilpotent orbits in simple Lie algebras of exceptional type

2007-02-07

arxiv.org/abs/math/0702193v2

Mathematics

Group Theory

18 pages, some reordering, some references added

Scientific paper

Let G be a simple algebraic group over an algebraically closed field with Lie algebra g. Then the orbits of nilpotent elements of g under the adjoint action of G have been classified. We describe a simple algorithm for finding a representative of a nilpotent orbit. We use this to compute lists of representatives of these orbits for the Lie algebras of exceptional type. Then we give two applications. The first one concerns settling a conjecture by Elashvili on the index of centralizers of nilpotent orbits, for the case where the Lie algebra is of exceptional type. The second deals with minimal dimensions of double centralizers.

Affiliated with

Also associated with

No associations

Rating

Computing with nilpotent orbits in simple Lie algebras of exceptional type 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 Computing with nilpotent orbits in simple Lie algebras of exceptional type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing with nilpotent orbits in simple Lie algebras of exceptional type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219098