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 special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.
An irreducibility criterion for group representations with arithmetic applications
LONGO, MATTEO;
2010
Abstract
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 special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
ProcAMS.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso libero
Dimensione
192.66 kB
Formato
Adobe PDF
|
192.66 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
