2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168214The 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.Number TheoryRepresentation Theory11F33, 11F80, 11F85, 22E50text