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On some modular representations of the Borel subgroup of GL2(Qp)
Published online by Cambridge University Press: 11 December 2009
Abstract
Colmez has given a recipe to associate a smooth modular representation Ω(W) of the Borel subgroup of GL2(Qp) to a -representation W of by using Fontaine’s theory of (φ,Γ)-modules. We compute Ω(W) explicitly and we prove that if W is irreducible and dim (W)=2, then Ω(W) is the restriction to the Borel subgroup of GL2(Qp) of the supersingular representation associated to W by Breuil’s correspondence.
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- Research Article
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- Copyright © Foundation Compositio Mathematica 2009
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