The local structure theorem for real spherical varieties

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

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

Harvard

Knop, F, Krötz, B & Schlichtkrull, H 2015, 'The local structure theorem for real spherical varieties', Compositio Mathematica, bind 151, nr. 11, s. 2145-2159. https://doi.org/10.1112/S0010437X15007307

APA

Knop, F., Krötz, B., & Schlichtkrull, H. (2015). The local structure theorem for real spherical varieties. Compositio Mathematica, 151(11), 2145-2159. https://doi.org/10.1112/S0010437X15007307

Vancouver

Knop F, Krötz B, Schlichtkrull H. The local structure theorem for real spherical varieties. Compositio Mathematica. 2015;151(11):2145-2159. https://doi.org/10.1112/S0010437X15007307

Author

Knop, Friedrich ; Krötz, Bernhard ; Schlichtkrull, Henrik. / The local structure theorem for real spherical varieties. I: Compositio Mathematica. 2015 ; Bind 151, Nr. 11. s. 2145-2159.

Bibtex

@article{3aad376d117f47b491472e8e17d8b34f,
title = "The local structure theorem for real spherical varieties",
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×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.",
author = "Friedrich Knop and Bernhard Kr{\"o}tz and Henrik Schlichtkrull",
year = "2015",
doi = "10.1112/S0010437X15007307",
language = "English",
volume = "151",
pages = "2145--2159",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "11",

}

RIS

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