CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Locally Indecomposable Galois Representations

  Published:2010-12-29
 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
Format:   HTML   LaTeX   MathJax   PDF  

Abstract

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
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/