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Serre weights for quaternion algebras
Published online by Cambridge University Press: 09 February 2011
Abstract
We study the possible weights of an irreducible two-dimensional mod p representation of which is modular in the sense that it comes from an automorphic form on a definite quaternion algebra with centre F which is ramified at all places dividing p, where F is a totally real field. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.
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- Copyright © Foundation Compositio Mathematica 2011
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