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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, 22E50, 11F70 show english descriptions Analysis on $p$-adic Lie groups
Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Representation-theoretic methods; automorphic representations over local and global fields
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
 

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