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Residually reducible representations of algebras over local Artinian rings
Author(s):
Jim
Brown
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3409-3414.
MSC (2000):
Primary 16G10
Posted:
June 5, 2008
MathSciNet review:
2415023
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Abstract:
In this paper we generalize a result of Urban on the structure of residually reducible representations on local Artinian rings from the case that the semi-simplification of the residual representation splits into 2 absolutely irreducible representations to the case where it splits into  absolutely irreducible representations.
References:
-
- [B07]
- J. Brown, Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture, Compos. Math. 143, no. 2 (2007), 290-322. MR 2309988
- [C94]
- H. Carayol, Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet, Contemp. Math. 165, Amer. Math. Soc., Providence, RI, 1994, 213-237. MR 1279611 (95i:11059)
- [U99]
- E. Urban, On residually reducible representations on local rings, J. Algebra 212 (1999), 738-742. MR 1676863 (2000a:16020)
- [U01]
- E. Urban, Selmer groups and the Eisenstein-Klingen ideal, Duke Math. J. 106, no. 3 (2001), 485-525. MR 1813234 (2002b:11073)
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Additional Information:
Jim
Brown
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, California 91125
Address at time of publication:
Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634-0975
Email:
jimlb@caltech.edu
DOI:
10.1090/S0002-9939-08-09568-3
PII:
S 0002-9939(08)09568-3
Keywords:
Residually reducible representations,
Artinian rings
Received by editor(s):
June 29, 2007
Posted:
June 5, 2008
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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