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

Ben-Gurion University of the Negev

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

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	American 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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1112/S0010437X16007399

Cite this

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Vanishing at infinity on homogeneous spaces of reductive type

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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