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Locally Indecomposable Galois Representations

Published online by Cambridge University Press:  20 November 2018

Eknath Ghate  and
Vinayak Vatsal
Eknath Ghate
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400005, India. email: eghate@math.tifr.res.in
Vinayak Vatsal
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC email: vatsal@math.ubc.ca
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Abstract

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In a previous paper the authors showed that, under some technical conditions, the local Galois representations attached to the members of a non-$\text{CM}$ family of ordinary cusp forms are indecomposable for all except possibly finitely many members of the family. In this paper we use deformation theoretic methods to give examples of non-$\text{CM}$ families for which every classical member of weight at least two has a locally indecomposable Galois representation.

Keywords

11F80
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 2 , 01 April 2011 , pp. 277 - 297
Copyright
Copyright © Canadian Mathematical Society 2012

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