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Locally Indecomposable Galois Representations

Open Access article
 Printed: Apr 2011
  • Eknath Ghate,
    School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400005, India
  • Vinayak Vatsal,
    Department of Mathematics, University of British Columbia, Vancouver, BC
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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-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-CM families for which every classical member of weight at least two has a locally indecomposable Galois representation.
MSC Classifications: 11F80 show english descriptions Galois representations 11F80 - Galois representations

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