Simple compactifications and polar decomposition of homogeneous real spherical spaces
Representation Theory
2022-10-17 v2
Abstract
Let Z be an algebraic homogeneous space Z=G/H attached to real reductive Lie group G. We assume that Z is real spherical, i.e., minimal parabolic subgroups have open orbits on Z. For such spaces we investigate their large scale geometry and provide a polar decomposition. This is obtained from the existence of simple compactifications of Z which is established in this paper.
Keywords
Cite
@article{arxiv.1402.3467,
title = {Simple compactifications and polar decomposition of homogeneous real spherical spaces},
author = {Friedrich Knop and Bernhard Krötz and Eitan Sayag and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:1402.3467},
year = {2022}
}
Comments
Extended revised version. Section 5 with a systematic study of the compression (or valuation) cone is new