On a converse theorem for $G_2$ over finite fields
Representation Theory
2023-02-14 v1
Abstract
In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split over finite fields of odd characteristic. Then we prove the first converse theorem for exceptional groups, namely, and -twisted gamma factors will uniquely determine an irreducible generic cuspidal representation of .
Cite
@article{arxiv.1811.10472,
title = {On a converse theorem for $G_2$ over finite fields},
author = {Baiying Liu and Qing Zhang},
journal= {arXiv preprint arXiv:1811.10472},
year = {2023}
}