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# The Dual Pair $G_2 \times \PU_3 (D)$ ($p$-Adic Case)

Published:1999-02-01
Printed: Feb 1999
• Gordan Savin
• Wee Teck Gan
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## Abstract

We study the correspondence of representations arising by restricting the minimal representation of the linear group of type $E_7$ and relative rank $4$. The main tool is computations of the Jacquet modules of the minimal representation with respect to maximal parabolic subgroups of $G_2$ and $\PU_3(D)$.
 MSC Classifications: 22E35 - Analysis on $p$-adic Lie groups 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields