Mathematics – Representation Theory
Scientific paper
2011-11-19
Mathematics
Representation Theory
13 pages, submitted
Scientific paper
Using differential techniques, we compute the Jacquet module of the locally
analytic vectors of irreducible admissible unitary representations of
GL_2(\qp). This gives a direct proof of some results of Colmez, leading to a
proof of conjectures by Berger, Breuil and Emerton.
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