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@article{faucris.122861464,
abstract = {Let G be an algebraic real reductive group and Z a real spherical G-variety, that is, it admits an open orbit for a minimal parabolic subgroup P. We prove a local structure theorem for Z. In the simplest case where Z is homogeneous, the theorem provides an isomorphism of the open P-orbit with a bundle Q x S-L. Here Q is a parabolic subgroup with Levi decomposition L (sic) U, and S is a homogeneous space for a quotient D = L/L-n of L, where L-n subset of L is normal, such that D is compact modulo center.},
author = {Knop, Friedrich and KrĂ¶tz, Bernhard and Schlichtkrull, Henrik},
doi = {10.1112/S0010437X15007307},
faupublication = {yes},
journal = {Compositio Mathematica},
keywords = {spherical varieties;homogeneous spaces;real reductive groups},
pages = {2145-2159},
peerreviewed = {Yes},
title = {{The} local structure theorem for real spherical varieties},
volume = {151},
year = {2015}
}