The local structure theorem for real spherical varieties
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The local structure theorem for real spherical varieties. / Knop, Friedrich; Krötz, Bernhard; Schlichtkrull, Henrik.
I: Compositio Mathematica, Bind 151, Nr. 11, 2015, s. 2145-2159.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - The local structure theorem for real spherical varieties
AU - Knop, Friedrich
AU - Krötz, Bernhard
AU - Schlichtkrull, Henrik
PY - 2015
Y1 - 2015
N2 - 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×LS . Here Q is a parabolic subgroup with Levi decomposition L⋉U , and S is a homogeneous space for a quotient D=L/Ln of L , where Ln⊆L is normal, such that D is compact modulo center.
AB - 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×LS . Here Q is a parabolic subgroup with Levi decomposition L⋉U , and S is a homogeneous space for a quotient D=L/Ln of L , where Ln⊆L is normal, such that D is compact modulo center.
U2 - 10.1112/S0010437X15007307
DO - 10.1112/S0010437X15007307
M3 - Journal article
VL - 151
SP - 2145
EP - 2159
JO - Compositio Mathematica
JF - Compositio Mathematica
SN - 0010-437X
IS - 11
ER -
ID: 149086369