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

Published:2009-02-01
Printed: Feb 2009
• Chufeng Nien
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## Abstract

This paper shows the existence and uniqueness of Klyachko models for irreducible unitary representations of $\GL_5(\CF)$, where $\CF$ is a $p$-adic field. It is an extension of the work of Heumos and Rallis on $\GL_4(\CF)$.
 Keywords: Klyachko models, Whittaker-symplectic model
 MSC Classifications: 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]

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