An irreducibility criterion for group representations, with arithmetic applications

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.accessioned
2024-09-19T13:31:47Z
dc.date.available
2010-06-17T07:35:18Z
dc.date.available
2024-09-19T13:31:47Z
dc.date.created
2010-02
dc.date.issued
2010-02
dc.identifier.uri
http://hdl.handle.net/2072/65546
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.
cat
dc.format.extent
14
ca
dc.format.extent
201759 bytes
dc.format.mimetype
application/pdf
dc.language.iso
eng
ca
dc.publisher
Centre de Recerca Matemàtica
ca
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/)
cat
dc.subject.other
Representacions de grups
ca
dc.subject.other
Mòduls (Àlgebra)
ca
dc.title
An irreducibility criterion for group representations, with arithmetic applications
ca
dc.type
info:eu-repo/semantics/preprint
ca
dc.subject.udc
512
ca


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