Simple compactifications and polar decomposition of homogeneous real spherical spaces
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Selecta Mathematica |
Vol/bind | 21 |
Sider (fra-til) | 1071–1097 |
ISSN | 1022-1824 |
DOI | |
Status | Udgivet - 2015 |
ID: 144168992