Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Bernhard Krötz; Eitan Sayag; Henrik Schlichtkrull

doi:10.1007/s00209-014-1313-7

Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Department of Mathematics

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

12 Scopus citations

Abstract

Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).

Original language	English
Pages (from-to)	229-249
Number of pages	21
Journal	Mathematische Zeitschrift
Volume	278
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-014-1313-7
State	Published - 11 Sep 2014

Keywords

Homogeneous space
Lie group
Matrix coefficient
Representation
Spherical

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-014-1313-7

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abstract = "Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).",

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AU - Sayag, Eitan

AU - Schlichtkrull, Henrik

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N2 - Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).

AB - Let (Formula Presented) be a homogeneous space (Formula Presented) of a real reductive Lie group (Formula Presented) with a reductive subgroup (Formula Presented). The investigation concerns the quantitative decay of matrix coefficients on (Formula Presented) under the assumption that (Formula Presented) is of spherical type, that is, minimal parabolic subgroups have open orbits on (Formula Presented).

KW - Homogeneous space

KW - Lie group

KW - Matrix coefficient

KW - Representation

KW - Spherical

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ER -

Decay of matrix coefficients on reductive homogeneous spaces of spherical type

Abstract

Keywords

ASJC Scopus subject areas

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