Locally analytic vectors in representations of locally p-adic analytic groups

Simple item page
dc.creatorEmerton, Matthew
dc.date2004-05-07
dc.date.accessioned2026-07-07T05:08:02Z
dc.date.available2026-07-07T05:08:02Z
dc.descriptionThis paper develops various foundational results in the locally analytic representation theory of p-adic groups. In particular, we define the functor ``pass to locally analytic vectors'', which attaches to any continuous representation of a p-adic analytic group on a locally convex p-adic topological vector space the associated space of locally analytic vectors. Using this functor, and the point of view that its construction suggests, we establish some basic facts about admissible locally analytic representations (as defined by Schneider and Teitelbaum). We also introduce the related notion of essentially admissible locally analytic representations.
dc.descriptionDraft dated May 4, 2004 135 pages
dc.identifierhttps://arxiv.org/abs/math/0405137
dc.identifierhttp://arxiv.org/abs/math/0405137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71098
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.titleLocally analytic vectors in representations of locally p-adic analytic groups
dc.typetext

Files

Collections

arXiv