An irreducibility criterion for group representations, with arithmetic applications
Number Theory
2010-02-17 v1 Commutative Algebra
Abstract
We prove a criterion for the irreducibility of an integral group representation \rho over the fraction field of a noetherian domain R in terms of suitably defined reductions of \rho at prime ideals of R. As applications, we give irreducibility results for universal deformations of residual representations, with a special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.
Cite
@article{arxiv.1002.3150,
title = {An irreducibility criterion for group representations, with arithmetic applications},
author = {M. Longo and S. Vigni},
journal= {arXiv preprint arXiv:1002.3150},
year = {2010}
}
Comments
11 pages