TY - JOUR
T1 - Simple compactifications and polar decomposition of homogeneous real spherical spaces
AU - Knop, Friedrich
AU - Krötz, Bernhard
AU - Sayag, Eitan
AU - Schlichtkrull, Henrik
PY - 2015/12/23
Y1 - 2015/12/23
N2 - Let Z be an algebraic homogeneous space $$Z=G/H$$Z=G/H attached to real reductive Lie group $$G$$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.
AB - Let Z be an algebraic homogeneous space $$Z=G/H$$Z=G/H attached to real reductive Lie group $$G$$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.
U2 - 10.1007/s00029-014-0174-6
DO - 10.1007/s00029-014-0174-6
M3 - Journal article
SN - 1022-1824
VL - 21
SP - 1071
EP - 1097
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
ER -