Vanishing at infinity on homogeneous spaces of reductive type

Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

doi:10.1112/S0010437X16007399

Vanishing at infinity on homogeneous spaces of reductive type

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Department of Mathematical Sciences

2 Citations (Scopus)

Abstract

Let be a real reductive group and a unimodular homogeneous space. The space is said to satisfy VAI (vanishing at infinity) if all smooth vectors in the Banach representations vanish at infinity, <![CDATA[$1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.

Original language	English
Journal	Compositio Mathematica
Volume	152
Issue number	7
Pages (from-to)	1385-1397
ISSN	0010-437X
DOIs	https://doi.org/10.1112/S0010437X16007399
Publication status	Published - 1 Jul 2016

Access to Document

10.1112/S0010437X16007399

Cite this

@article{c2d175bff6c346649cb0f3d55921481d,

title = "Vanishing at infinity on homogeneous spaces of reductive type",

abstract = "Let be a real reductive group and a unimodular homogeneous space. The space is said to satisfy VAI (vanishing at infinity) if all smooth vectors in the Banach representations vanish at infinity, <![CDATA[$1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.",

author = "Bernhard Kr{\"o}tz and Eitan Sayag and Henrik Schlichtkrull",

year = "2016",

month = jul,

day = "1",

doi = "10.1112/S0010437X16007399",

language = "English",

volume = "152",

pages = "1385--1397",

journal = "Compositio Mathematica",

issn = "0010-437X",

publisher = "Cambridge University Press",

number = "7",

}

TY - JOUR

T1 - Vanishing at infinity on homogeneous spaces of reductive type

AU - Krötz, Bernhard

AU - Sayag, Eitan

AU - Schlichtkrull, Henrik

PY - 2016/7/1

Y1 - 2016/7/1

N2 - Let be a real reductive group and a unimodular homogeneous space. The space is said to satisfy VAI (vanishing at infinity) if all smooth vectors in the Banach representations vanish at infinity, <![CDATA[$1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.

AB - Let be a real reductive group and a unimodular homogeneous space. The space is said to satisfy VAI (vanishing at infinity) if all smooth vectors in the Banach representations vanish at infinity, <![CDATA[$1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.

U2 - 10.1112/S0010437X16007399

DO - 10.1112/S0010437X16007399

M3 - Journal article

SN - 0010-437X

VL - 152

SP - 1385

EP - 1397

JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 7

ER -

Vanishing at infinity on homogeneous spaces of reductive type

Abstract

Access to Document

Fingerprint

Cite this