Locally analytic distributions and p-adic representation theory, with applications to GL_2
| dc.creator | Schneider, Peter | |
| dc.creator | Teitelbaum, Jeremy | |
| dc.date | 1999-12-09 | |
| dc.date.accessioned | 2026-07-07T05:32:12Z | |
| dc.date.available | 2026-07-07T05:32:12Z | |
| dc.description | Let L be a finite extension of Qp, and let K be a spherically complete non-archimedean extension field of L. In this paper we introduce a restricted category of continuous representations of locally L-analytic groups G in locally convex K-vector spaces. We call the objects of this category "admissible" representations and we establish some of their basic properties. Most importantly we show that (at least when G is compact) the category of admissible representations in our sense can be algebraized; it is faithfully full (anti)-embedded into the category of modules over the locally analytic distribution algebra D(G,K) of G over K. As an application of our theory, we prove the topological irreducibility of generic members of the p-adic principal series of GL(2,Qp). | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/9912073 | |
| dc.identifier | http://arxiv.org/abs/math/9912073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79576 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.title | Locally analytic distributions and p-adic representation theory, with applications to GL_2 | |
| dc.type | text |