The dual pair PGL\(_ 3\times G_ 2\). (English) Zbl 0881.22010

Let \(H\) be the split, adjoint group of type \(E_6\) over a \(p\)-adic field. In the paper conjectural descriptions of the minimal representation of \(H\) to the closed subgroup \(PGL_3 \times G_2\) are given.
Reviewer: K.Riives (Tartu)


22E35 Analysis on \(p\)-adic Lie groups
22E50 Representations of Lie and linear algebraic groups over local fields
11F70 Representation-theoretic methods; automorphic representations over local and global fields
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