Un crit\`ere d'ind\'ependance pour une famille de repr\'esentations l-adiques

TL;DR

This paper introduces a criterion to determine the near independence of a family of l-adic representations, aiding in understanding their collective behavior in number theory.

Contribution

It provides a new criterion for assessing the almost independence of l-adic representations, advancing theoretical tools in algebraic number theory.

Findings

Criterion for almost independence established

Applicable to families of l-adic representations

Enhances understanding of their collective properties

Abstract

We give a criterion for the " almost independence " of a family of l-adic representations.