An irreducibility criterion for group representations, with arithmetic applications

Autor:	Longo, M., Vigni, S.
Rok vydání:	2010
Předmět:	Mathematics - Number Theory Mathematics - Commutative Algebra 20C12 11F80
Druh dokumentu:	Working Paper
Popis:	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. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1002.3150 Zobrazit plný text záznamu View this record from Arxiv