Coadjoint orbits of reductive type of seaweed Lie algebras

Details Coadjoint orbits of reductive type of seaweed Lie algebras Coadjoint orbits of reductive type of seaweed Lie algebras

2011-01-05

arxiv.org/abs/1101.0902v2

International Mathematics Research Notices (2011) 45 pages

Mathematics

Representation Theory

35 pages, 5 figures; International Mathematics Research Notices (2011) 45 pages

Scientific paper

10.1093/imrn/rnr184

A connected algebraic group Q defined over a field of characteristic zero is quasi-reductive if there is an element of its dual of reductive type, that is such that the quotient of its stabiliser by the centre of Q is a reductive subgroup of GL(q), where q=Lie(Q). Due to results of M. Duflo, coadjoint representation of a quasi-reductive Q possesses a so called maximal reductive stabiliser and knowing this subgroup, defined up to a conjugation in Q, one can describe all coadjoint orbits of reductive type. In this paper, we consider quasi-reductive parabolic subalgebras of simple complex Lie algebras as well as all seaweed subalgebras of gl(n) and describe the classes of their maximal reductive stabilisers.

Affiliated with

Also associated with

No associations

Rating

Coadjoint orbits of reductive type of seaweed Lie algebras 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 Coadjoint orbits of reductive type of seaweed Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coadjoint orbits of reductive type of seaweed Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-266494