Eigenvarieties for classical groups and complex conjugations in Galois representations

  title={Eigenvarieties for classical groups and complex conjugations in Galois representations},
  author={Olivier Taibi},
  • O. Taibi
  • Published 1 March 2012
  • Mathematics
The goal of this paper is to remove the irreducibility hypothesis in a theorem of Richard Taylor describing the image of complex conjugations by p-adic Galois representations associated with regular, algebraic, essentially self-dual, cuspidal automorphic representations of GL2n+1 over a totally real number field F . We also extend it to the case of representations of GL2n/F whose multiplicative character is “odd”. We use a p-adic deformation argument, more precisely we prove that on the… 

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