Residually reducible representations of algebras over local Artinian rings
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- Proc. Amer. Math. Soc. 136 (2008), 3409-3414 Request permission
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 $m \geq 2$ absolutely irreducible representations.References
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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
- Received by editor(s): June 29, 2007
- Published electronically: June 5, 2008
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3409-3414
- MSC (2000): Primary 16G10
- DOI: https://doi.org/10.1090/S0002-9939-08-09568-3
- MathSciNet review: 2415023