Journal article
Residual irreducibility of compatible systems
- Abstract:
-
We show that if {pl} is a compatible system of absolutely irreducible Galois representations of a number field then the residual representation p is absolutely irreducible for l in a density 1 set of primes. The key technical result is the following theorem: the image of pl is an open subgroup of a hyperspecial maximal compact subgroup of its Zariski closure with bounded index (as l varies). This result combines a theorem of Larsen on the semi-simple part of the image with an analogous result...
Expand abstract
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Authors
Funding
+ National Science Foundation
More from this funder
Funding agency for:
Snowden, A
Grant:
DMS-1453893
Bibliographic Details
- Publisher:
- Oxford University Press Publisher's website
- Journal:
- International Mathematics Research Notices Journal website
- Volume:
- 2018
- Issue:
- 2
- Pages:
- 571-587
- Publication date:
- 2016-12-24
- Acceptance date:
- 2016-10-05
- DOI:
- EISSN:
-
1687-0247
- ISSN:
-
1073-7928
Item Description
- Pubs id:
-
pubs:665998
- UUID:
-
uuid:aa1ed9a6-b347-45dd-9427-eb8335fb890e
- Local pid:
- pubs:665998
- Source identifiers:
-
665998
- Deposit date:
- 2016-12-14
Terms of use
- Copyright holder:
- © Patrikis, Snowden, and Wiles, 2016
- Copyright date:
- 2016
- Notes:
- This is the author accepted manuscript following peer review version of the article. The final version is available online from Oxford University Press at: 10.1093/imrn/rnw241
Metrics
If you are the owner of this record, you can report an update to it here: Report update to this record