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# The dual pair $PGL_3 \times G_2$

Let $H$ be the split, adjoint group of type $E_6$ over a $p$-adic field. In this paper we study the restriction of the minimal representation of $H$ to the closed subgroup $PGL_3 \times G_2$.
 MSC Classifications: 22E35 - Analysis on $p$-adic Lie groups and - unknown classification and50 - unknown classification 5011F70 - Representation-theoretic methods; automorphic representations over local and global fields