On the complement of the Richardson orbit
Representation Theory
2015-03-13 v2
Abstract
We consider parabolic subgroups of a general algebraic group over an algebraically closed field whose Levi part has exactly factors. By a classical theorem of Richardson, the nilradical of a parabolic subgroup has an open dense -orbit. In the complement to this dense orbit, there are infinitely many orbits as soon as the number of factors in the Levi part is . In this paper, we describe the irreducible components of the complement. In particular, we show that there are at most irreducible components.
Cite
@article{arxiv.1003.5234,
title = {On the complement of the Richardson orbit},
author = {Karin Baur and Lutz Hille},
journal= {arXiv preprint arXiv:1003.5234},
year = {2015}
}
Comments
15 pages