On some modular representations of the Borel subgroup of GL 2Q p - Mathematics > Number TheoryReport as inadecuate




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Abstract: Colmez has given a recipe to associate a smooth modular representationOmegaW of the Borel subgroup of GL 2Q p to a F p^bar-representation W ofGalQp^bar-Qp by using Fontaine-s theory of phi,Gamma-modules. We computeOmegaW explicitly and we prove that if W is irreducible and dimW=2, thenOmegaW is the restriction to the Borel subgroup of GL 2Q p of thesupersingular representation associated to W in Breuil-s correspondence.



Author: Laurent Berger

Source: https://arxiv.org/







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