Induction automorphe pour les repr\'esentations elliptiques

TL;DR

This paper extends the automorphic induction lift to encompass all elliptic representations, broadening the scope of previous character identity-based methods.

Contribution

It introduces a generalized automorphic induction lift applicable to all elliptic representations, expanding prior work limited to specific cases.

Findings

Extended the automorphic induction lift to all elliptic representations

Unified the treatment of automorphic induction for elliptic cases

Provided new tools for analyzing elliptic automorphic representations

Abstract

We extend the lift application for automorphic induction defined by an identity of characters to all elliptic representations.