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 Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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
Pages (from-to)	1385-1397
Number of pages	13
Journal	Compositio Mathematica
Volume	152
Issue number	7
DOIs	https://doi.org/10.1112/S0010437X16007399
State	Published - 1 Jul 2016

Keywords

homogeneous space
representation
smooth vector

ASJC Scopus subject areas

Algebra and Number Theory

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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, \$1\textbackslash{}leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.</p>",

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AU - Sayag, Eitan

AU - Schlichtkrull, Henrik

N1 - Publisher Copyright: © The Authors 2016.

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, $1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.</p>

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, $1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.</p>

KW - homogeneous space

KW - representation

KW - smooth vector

UR - https://www.scopus.com/pages/publications/84963511181

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DO - 10.1112/S0010437X16007399

M3 - Article

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JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 7

ER -

Vanishing at infinity on homogeneous spaces of reductive type

Abstract

Keywords

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