On The Image of Automorphic Galois Representations
Number Theory
2025-02-18 v1
Abstract
In this paper, we study extra-twists for automorphic representations of and use them to give a precise description of the image of the Galois representations associated with regular algebraic cuspidal automorphic representations of over totally real fields. We also formulate a conjecture for the -case and show how it follows from some standard conjectures in the Langlands program. Finally, assuming the existence of a motive associated with the representation, we study the relation of our constructions with the Mumford-Tate group.
Keywords
Cite
@article{arxiv.2502.10799,
title = {On The Image of Automorphic Galois Representations},
author = {Alireza Shavali},
journal= {arXiv preprint arXiv:2502.10799},
year = {2025}
}