Simple compactifications and polar decomposition of homogeneous real spherical spaces

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

JF - Selecta Mathematica

ER -