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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Residually reducible representations of algebras over local Artinian rings


Author: Jim Brown
Journal: Proc. Amer. Math. Soc. 136 (2008), 3409-3414
MSC (2000): Primary 16G10
Published electronically: 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 $ m \geq 2$ absolutely irreducible representations.


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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: http://dx.doi.org/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
Published electronically: June 5, 2008
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.