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

Institut for Matematiske Fag

2 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Compositio Mathematica
Vol/bind	152
Udgave nummer	7
Sider (fra-til)	1385-1397
ISSN	0010-437X
DOI	https://doi.org/10.1112/S0010437X16007399
Status	Udgivet - 1 jul. 2016

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10.1112/S0010437X16007399

Citationsformater

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T1 - Vanishing at infinity on homogeneous spaces of reductive type

AU - Krötz, Bernhard

AU - Sayag, Eitan

AU - Schlichtkrull, Henrik

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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.

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DO - 10.1112/S0010437X16007399

M3 - Journal article

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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

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