On Galois representations for abelian varieties with complex and real multiplications

In this paper, we study the image of <f>l</f>-adic representations coming from Tate module of an abelian variety defined over a number field. We treat abelian varieties with complex and real multiplications. We verify the Mumford–Tate conjecture for a new class of abelian varieties with real multiplication. [Copyright &y& Elsevier]