Existence of Klyachko models for GL(n,R) and GL(n,C)

Dmitry Gourevitch; Omer Offen; Siddhartha Sahi; Eitan Sayag

doi:10.1016/j.jfa.2012.01.023

Existence of Klyachko models for GL(n,R) and GL(n,C)

Dmitry Gourevitch, Omer Offen, Siddhartha Sahi, Eitan Sayag

Department of Mathematics

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

5 Scopus citations

Abstract

We prove that any irreducible unitary representation of GL(n,R) and GL(n,C) admits an equivariant linear form with respect to one of the subgroups considered by Klyachko.

Original language	English
Pages (from-to)	3585-3601
Number of pages	17
Journal	Journal of Functional Analysis
Volume	262
Issue number	8
DOIs	https://doi.org/10.1016/j.jfa.2012.01.023
State	Published - 15 Apr 2012

Keywords

Distinguished representations
Highest derivatives
Mixed models
Unitary dual

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2012.01.023

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title = "Existence of Klyachko models for GL(n,R) and GL(n,C)",

abstract = "We prove that any irreducible unitary representation of GL(n,R) and GL(n,C) admits an equivariant linear form with respect to one of the subgroups considered by Klyachko.",

keywords = "Distinguished representations, Highest derivatives, Mixed models, Unitary dual",

author = "Dmitry Gourevitch and Omer Offen and Siddhartha Sahi and Eitan Sayag",

year = "2012",

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T1 - Existence of Klyachko models for GL(n,R) and GL(n,C)

AU - Gourevitch, Dmitry

AU - Offen, Omer

AU - Sahi, Siddhartha

AU - Sayag, Eitan

PY - 2012/4/15

Y1 - 2012/4/15

N2 - We prove that any irreducible unitary representation of GL(n,R) and GL(n,C) admits an equivariant linear form with respect to one of the subgroups considered by Klyachko.

AB - We prove that any irreducible unitary representation of GL(n,R) and GL(n,C) admits an equivariant linear form with respect to one of the subgroups considered by Klyachko.

KW - Distinguished representations

KW - Highest derivatives

KW - Mixed models

KW - Unitary dual

UR - http://www.scopus.com/inward/record.url?scp=84857367374&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2012.01.023

DO - 10.1016/j.jfa.2012.01.023

M3 - Article

AN - SCOPUS:84857367374

SN - 0022-1236

VL - 262

SP - 3585

EP - 3601

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 8

ER -

Existence of Klyachko models for GL(n,R) and GL(n,C)

Abstract

Keywords

ASJC Scopus subject areas

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