On the image of $l$-adic Galois representations for abelian varieties of type I and II
On the image of $l$-adic Galois representations for abelian varieties of type I and II
In this paper we investigate the image of the $l$-adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or II in the Albert classification. We compute the image explicitly and verify the classical conjectures of Mumford-Tate, Hodge, Lang …