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arXiv · 1402.3467

Simple compactifications and polar decomposition of homogeneous real spherical spaces

Friedrich Knop·Bernhard Krötz·Eitan Sayag·Henrik Schlichtkrull
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Abstract

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.

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Friedrich Knop, Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull. 2014-02-14. Simple compactifications and polar decomposition of homogeneous real spherical spaces. https://doi.org/10.1007/s00029-014-0174-6

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