Duality for admissible locally analytic representations
| dc.creator | Schneider, Peter | |
| dc.creator | Teitelbaum, Jeremy | |
| dc.date | 2004-03-29 | |
| dc.date | 2004-04-01 | |
| dc.date.accessioned | 2026-07-07T05:06:51Z | |
| dc.date.available | 2026-07-07T05:06:51Z | |
| dc.description | We study the problem of constructing a contragredient functor on the category of admissible locally analytic representations of a p-adic analytic group G. A naive contragredient does not exist. As a best approximation, we construct an involutive "duality" functor from the bounded derived category of modules over the distribution algebra of G with coadmissible cohomology to itself. On the subcategory corresponding to complexes of smooth representations, this functor induces the usual smooth contragredient (with a degree shift). Although we construct our functor in general we obtain its involutivity, for technical reasons, only in the case of locally Qp-analytic groups. | |
| dc.description | 36 pages, uses xypic | |
| dc.identifier | https://arxiv.org/abs/math/0403498 | |
| dc.identifier | http://arxiv.org/abs/math/0403498 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70633 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 11S80; 22E50 | |
| dc.title | Duality for admissible locally analytic representations | |
| dc.type | text |