An irreducibility criterion for group representations, with arithmetic applications

• Autores: Matteo Longo , Stefano Vigni
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 10, 2010, págs. 3437-3447
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10485-9
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• Resumen

  • 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 .