Caract\`eres semi-simples de G_2(F), F corps local non archim\'edien

TL;DR

This paper introduces semi-simple strata, characters, and types in the group G_2(F) over a non-Archimedean local field, and constructs supercuspidal representations using these types.

Contribution

It develops the theory of semi-simple structures in G_2(F) and constructs supercuspidal representations based on these new types.

Findings

Defined semi-simple strata, characters, and types in G_2(F)

Constructed supercuspidal representations from these types

Extended the representation theory of G_2(F)

Abstract

We define semi-simple strata, semi-simple characters and semi-simple types in G_2(F). With some of these types we construct supercuspidal representations of this group.