Simple compactifications and polar decomposition of homogeneous real spherical spaces
Research output: Contribution to journal › Journal article › Research › peer-review
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 language | English |
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Journal | Selecta Mathematica |
Volume | 21 |
Pages (from-to) | 1071–1097 |
ISSN | 1022-1824 |
DOIs | |
Publication status | Published - 2015 |
ID: 144168992