English

On Certain Global Constructions of Automorphic Forms Related to Small Representations of $F_4$

Representation Theory 2015-03-24 v1 Number Theory

Abstract

In this paper we consider some global constructions of liftings of automorphic representations attached to some commuting pairs in the exceptional group F4F_4. We consider two families of integrals. The first uses the minimal representation on the double cover of F4F_4, and in the second we consider examples of integrals of descent type associated with unipotent orbits of F4F_4.

Keywords

Cite

@article{arxiv.1503.06409,
  title  = {On Certain Global Constructions of Automorphic Forms Related to Small Representations of $F_4$},
  author = {David Ginzburg},
  journal= {arXiv preprint arXiv:1503.06409},
  year   = {2015}
}