Simple compactifications and polar decomposition of homogeneous real spherical spaces
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Simple compactifications and polar decomposition of homogeneous real spherical spaces. / Knop, Friedrich; Krötz, Bernhard; Sayag, Eitan; Schlichtkrull, Henrik.
In: Selecta Mathematica, Vol. 21, 2015, p. 1071–1097.Research output: Contribution to journal › Journal article › Research › peer-review
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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
Y1 - 2015
N2 - 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.
AB - 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.
U2 - 10.1007/s00029-014-0174-6
DO - 10.1007/s00029-014-0174-6
M3 - Journal article
VL - 21
SP - 1071
EP - 1097
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
SN - 1022-1824
ER -
ID: 144168992