Représentations cristallines irréductibles de ${\rm GL}_2(\mathbf{Q}_p)$

Simple item page
dc.creatorBerger, Laurent
dc.creatorBreuil, Christophe
dc.date2004-10-04
dc.date.accessioned2026-07-07T05:12:50Z
dc.date.available2026-07-07T05:12:50Z
dc.descriptionIn \cite[\S1.3]{Br2}, some unitary representations of ${\rm GL}_2(\mathbf{Q}_p)$ on $p$-adic Banach spaces are associated to 2-dimensional irreducible crystalline representations of ${\rm Gal}(\bar{\mathbf{Q}}_p)/\mathbf{Q}_p)$. Some conjectures are formulated concerning those Banach spaces (non triviality, topological irreducibility, admissibility). We prove those conjectures by reinterpreting those Banach as spaces of functions of a certain type on $\mathbf{Q}_p$, and then by using the theory of $(ϕ,Γ)$-modules associated to the corresponding crystalline representations.
dc.description44 pages, in french
dc.identifierhttps://arxiv.org/abs/math/0410053
dc.identifierhttp://arxiv.org/abs/math/0410053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72729
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject11F
dc.titleReprésentations cristallines irréductibles de ${\rm GL}_2(\mathbf{Q}_p)$
dc.typetext

Files

Collections

arXiv