Existence of Klyachko Models for GL(n;R) and GL(n;C)
Dmitry Gourevitch, Omer OFfen, Siddhartha Sahi, Eitan Sayag
TL;DR
This paper proves that all unitary representations of GL(n;R) and GL(n;C) have an equivariant linear form related to Klyachko's subgroups, advancing understanding of their representation theory.
Contribution
It establishes the existence of Klyachko models for all unitary representations of GL(n;R) and GL(n;C), a significant theoretical advancement.
Findings
Existence of Klyachko models for all unitary representations
Extension of Klyachko's subgroup analysis to real and complex general linear groups
New insights into the structure of unitary representations
Abstract
We prove that any 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.
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