On the index of certain Lie algebras

Details On the index of certain Lie algebras On the index of certain Lie algebras

2003-11-07

arxiv.org/abs/math/0311104v2

Annales de l'Institut Fourier, 54 (2004) 1793-1810

Mathematics

Representation Theory

This paper is written in French. There is an english abstract. This second version contains minor corrections

Scientific paper

We give an upper bound for the index of certain Lie algebras, called of seaweed type, introduced by V. Dergachev, A. Kirillov and D. Panyushev. We deduce from this a conjecture of D. Panyushev stated in "Inductive formulas for the index of seaweed Lie algebra, Moscow Math. Journal (2001) 221-241". We conjecture that our upper bound gives in fact a formula for the index of such Lie algebras, and we prove it in certain cases. Finally, we obtain a result concerning the index of parabolic subalgebras of a semisimple Lie algebra.

Affiliated with

Also associated with

No associations

Rating

On the index of certain 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 On the index of certain Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the index of certain Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-342895