On Certain Global Constructions of Automorphic Forms Related to Small Representations of F₄

الأصل · EN

In this paper we consider some global constructions of liftings of automorphic representations attached to some commuting pairs in the exceptional group F₄. We consider two families of integrals. The first uses the minimal representation on the double cover of F₄, and in the second we consider examples of integrals of descent type associated with unipotent orbits of F₄.