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

Gross, Benedict H.; Savin, Gordan

Can. Math. Bull. 40, No. 3, 376-384 (1997).

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)

MSC:

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

Keywords:

restrictions of the minimal representations; \(p\)-adic field