On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces

Details On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces

2011-09-21

arxiv.org/abs/1109.4501v2

Mathematics

Representation Theory

Latex file, 35 pages, minor corrections, some examples added. To appear in Selecta Mathematica

Scientific paper

Let g=g_0+g_1 be a Z_2-graded Lie algebra. We study the posets of abelian
subalgebras of g_1 which are stable w.r.t. a Borel subalgebra of g_0. In
particular, we find out a natural parametrization of maximal elements and
dimension formulas for them. We recover as special cases several results of
Kostant, Panyushev, Suter.

Affiliated with

Also associated with

No associations

Rating

On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces 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 structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257154