Regular orbits of symmetric subgroups on partial flag varieties
Representation Theory
2009-03-06 v1
Abstract
The main result of this paper is a new parameterization of the orbits of a symmetric subgroup on a partial flag variety. The parameterization is in terms of certain Spaltenstein varieties, on one hand, and certain nilpotent orbits, on the other. One of the motivations is related to enumerating special unipotent representations of real reductive groups. Another motivation is understanding (a portion of) the closure order on the set of nilpotent coadjoint orbits.
Cite
@article{arxiv.0903.1039,
title = {Regular orbits of symmetric subgroups on partial flag varieties},
author = {Dan Ciubotaru and Kyo Nishiyama and Peter E. Trapa},
journal= {arXiv preprint arXiv:0903.1039},
year = {2009}
}
Comments
19 pages