Resumen de An irreducibility criterion for group representations, with arithmetic applications
Matteo Longo 
, Stefano Vigni
We prove a criterion for the irreducibility of an integral group representation over the fraction field of a Noetherian domain in terms of suitably defined reductions of at prime ideals of . As applications, we give irreducibility results for universal deformations of residual representations, with special attention to universal deformations of residual Galois representations associated with modular forms of weight at least .
