Good Representations and Homogeneous Spaces
Algebraic Geometry
2008-06-09 v2
Abstract
Let G be a real or complex linear algebraic reductive group. Let H and F be reductive subgroups. We study the natural H action on G/F. The main theorem of this note shows that generic H orbits are closed. This theorem is then applied to study representations of G, representations of H which are induced from representations of G, and intersections of reductive subgroups of G.
Cite
@article{arxiv.0804.3343,
title = {Good Representations and Homogeneous Spaces},
author = {M. Jablonski},
journal= {arXiv preprint arXiv:0804.3343},
year = {2008}
}
Comments
v2: Added caveat at the beginning in regards to these results already existing in the literature. 8 pages