ABELIAN VARIETIES,<i>l</i>-ADIC REPRESENTATIONS AND SL₂

Abstract

In this article the Lie algebra of a Galois group which operates on the Tate module of a two- or three-dimensional Abelian variety is calculated. It is assumed that the Abelian variety does not have nontrivial endomorphisms and is defined over a global field with characteristic greater than two.Bibliography: 14 titles.