A restriction on proper actions on homogeneous spaces of reductive type
Group Theory
2015-03-19 v3
Abstract
Let L be a reductive subgroup of a reductive Lie group G. Let G/H be a homogeneous space of reductive type. We provide a necessary condition for the properness of the action of L on G/H. As an application we give examples of spaces that do not admit standard compact Clifford-Klein forms.
Keywords
Cite
@article{arxiv.1407.7565,
title = {A restriction on proper actions on homogeneous spaces of reductive type},
author = {Maciej Bochenski and Marek Ogryzek},
journal= {arXiv preprint arXiv:1407.7565},
year = {2015}
}
Comments
To appear in Geometriae Dedicata