On icosahedral Artin representations, II

Abstract

We prove that some new infinite families of odd two dimensional icosahedral representations of the absolute Galois group of [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] are modular and hence satsify the Artin conjecture. We also give an account of work of Ramakrishna on lifting mod l Galois representations to characteristic zero.