Supersingular representations of GL_2(Q_p) and (phi,Gamma)-modules
Number Theory
2008-09-03 v1 Representation Theory
Abstract
The purpose of this note is to give a direct proof of the fact that if one applies Colmez' functor to a two dimensional irreducible F_p^bar-representation of Gal(Q_p^bar/Q_p), one gets the restriction to the Borel subgroup of GL_2(Q_p) of a supersingular representation.
Cite
@article{arxiv.0809.0402,
title = {Supersingular representations of GL_2(Q_p) and (phi,Gamma)-modules},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:0809.0402},
year = {2008}
}