The tempered spectrum of a real spherical space

Friedrich Knop; Bernhard Krötz; Henrik Schlichtkrull

doi:10.4310/ACTA.2017.v218.n2.a3

The tempered spectrum of a real spherical space

Friedrich Knop, Bernhard Krötz, Henrik Schlichtkrull

Institut for Matematiske Fag

5 Citationer (Scopus)

55 Downloads (Pure)

Abstract

Let G/H be a unimodular real spherical space which is either absolutely spherical, i.e. the real form of a complex spherical space, or of wave-front type. It is shown that every tempered representation for G/H embeds into a twisted discrete series for a boundary degeneration of G/H. If G/H is of wave-front type it follows that the tempered representation is parabolically induced by a twisted discrete series representation for a real spherical space formed by a Levi subgroup.

Originalsprog	Engelsk
Tidsskrift	Acta Mathematica
Vol/bind	218
Udgave nummer	2
Sider (fra-til)	319-383
ISSN	0001-5962
DOI	https://doi.org/10.4310/ACTA.2017.v218.n2.a3
Status	Udgivet - jun. 2017

Adgang til dokumentet

10.4310/ACTA.2017.v218.n2.a3

ArticleOAForlagets udgivne version, 809 KB

Citationsformater

@article{2e2598a3a6d346d9bc2c8e4d345f05f2,

title = "The tempered spectrum of a real spherical space",

abstract = "Let G/H be a unimodular real spherical space which is either absolutely spherical, i.e. the real form of a complex spherical space, or of wave-front type. It is shown that every tempered representation for G/H embeds into a twisted discrete series for a boundary degeneration of G/H. If G/H is of wave-front type it follows that the tempered representation is parabolically induced by a twisted discrete series representation for a real spherical space formed by a Levi subgroup.",

author = "Friedrich Knop and Bernhard Kr{\"o}tz and Henrik Schlichtkrull",

year = "2017",

month = jun,

doi = "10.4310/ACTA.2017.v218.n2.a3",

language = "English",

volume = "218",

pages = "319--383",

journal = "Acta Mathematica",

issn = "0001-5962",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - The tempered spectrum of a real spherical space

AU - Knop, Friedrich

AU - Krötz, Bernhard

AU - Schlichtkrull, Henrik

PY - 2017/6

Y1 - 2017/6

N2 - Let G/H be a unimodular real spherical space which is either absolutely spherical, i.e. the real form of a complex spherical space, or of wave-front type. It is shown that every tempered representation for G/H embeds into a twisted discrete series for a boundary degeneration of G/H. If G/H is of wave-front type it follows that the tempered representation is parabolically induced by a twisted discrete series representation for a real spherical space formed by a Levi subgroup.

AB - Let G/H be a unimodular real spherical space which is either absolutely spherical, i.e. the real form of a complex spherical space, or of wave-front type. It is shown that every tempered representation for G/H embeds into a twisted discrete series for a boundary degeneration of G/H. If G/H is of wave-front type it follows that the tempered representation is parabolically induced by a twisted discrete series representation for a real spherical space formed by a Levi subgroup.

U2 - 10.4310/ACTA.2017.v218.n2.a3

DO - 10.4310/ACTA.2017.v218.n2.a3

M3 - Journal article

SN - 0001-5962

VL - 218

SP - 319

EP - 383

JO - Acta Mathematica

JF - Acta Mathematica

IS - 2

ER -

The tempered spectrum of a real spherical space

Abstract

Adgang til dokumentet

Fingeraftryk

Citationsformater