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A Class of Supercuspidal Representations of G2(k)
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $H$ be an exceptional, adjoint group of type
${{E}_{6}}$ and split rank 2, over a
$p$-adic field
$k$. In this article we discuss the restriction of the minimal representation of
$H$ to a dual pair
$P{{D}^{\times }}\,\times \,{{G}_{2}}\left( k \right)$, where
$D$ is a division algebra of dimension 9 over
$k$. In particular, we discover an interesting class of supercuspidal representations of
${{G}_{2}}\left( k \right)$.
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- Research Article
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- Copyright © Canadian Mathematical Society 1999
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