dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Longo, Matteo |
dc.contributor.author |
Vigni, Stefano |
dc.date.accessioned |
2010-06-17T07:35:18Z |
dc.date.available |
2010-06-17T07:35:18Z |
dc.date.created |
2010-02 |
dc.date.issued |
2010-02 |
dc.identifier.uri |
http://hdl.handle.net/2072/65546 |
dc.format.extent |
14 |
dc.format.extent |
201759 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;933 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Representacions de grups |
dc.subject.other |
Mòduls (Àlgebra) |
dc.title |
An irreducibility criterion for group representations, with arithmetic applications |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
512 - Àlgebra |
dc.description.abstract |
We prove a criterion for the irreducibility of an integral group representation p over the fraction field of a noetherian domain R in terms of suitably defined reductions of p 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. |