Images of ℓ-adic representations and automorphisms of abelian varieties (original) (raw)

The paper discusses the algebraic structures associated with ℓ-adic representations connected to abelian varieties over global fields or finitely generated extensions of Q. It establishes connections between the images of the absolute Galois group and the torsion subgroup of the center of endomorphisms of these varieties. By proving the independence of certain intersections from the prime ℓ, the results contribute to both the understanding of the Mumford-Tate Conjecture and the behavior of structures in positive characteristic cases.