Simple compactifications and polar decomposition of homogeneous real spherical spaces

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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.
Original languageEnglish
JournalSelecta Mathematica
Volume21
Pages (from-to)1071–1097
ISSN1022-1824
DOIs
Publication statusPublished - 2015

ID: 144168992