Extensions de repr\'esentations de de Rham et vecteurs localement alg\'ebriques
Number Theory
2015-08-19 v1 Representation Theory
Abstract
Let be an irreducible unitary completion of a locally algebraic -representation. We describe those first-order deformations of which are themselves completions of a locally algebraic representation. This answers a question of Paskunas and has direct applications to the Breuil-M\'ezard conjecture.
Keywords
Cite
@article{arxiv.1302.4567,
title = {Extensions de repr\'esentations de de Rham et vecteurs localement alg\'ebriques},
author = {Gabriel Dospinescu},
journal= {arXiv preprint arXiv:1302.4567},
year = {2015}
}
Comments
in French