Simple compactifications and polar decomposition of homogeneous real spherical spaces

Friedrich Knop, Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1071-1097
Number of pages27
JournalSelecta Mathematica, New Series
Volume21
Issue number3
DOIs
StatePublished - 23 Dec 2015

Keywords

  • Compactification
  • Polar decomposition
  • Spherical spaces

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