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Klyachko Models for General Linear Groups of Rank 5 over a p-Adic Field

Part of: Lie groups

Published online by Cambridge University Press:  20 November 2018

Chufeng Nien
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Abstract

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This paper shows the existence and uniqueness of Klyachko models for irreducible unitary representations of $\text{G}{{\text{L}}_{5}}\left( \mathcal{F} \right)$, where $\mathcal{F}$ is a $p$-adic field. It is an extension of the work of Heumos and Rallis on $\text{G}{{\text{L}}_{4}}\left( \mathcal{F} \right)$.

Keywords

KlyachkomodelsWhittaker-symplecticmodel

MSC classification

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 61 , Issue 1 , 01 February 2009 , pp. 222 - 240
Copyright
Copyright © Canadian Mathematical Society 2009

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