Hill, Richard;
Loeffler, David;
(2011)
Emerton's Jacquet functors for non-Borel parabolic subgroups.
Documenta Mathematica
, 16
pp. 1-31.
10.4171/DM/325.
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Abstract
This paper studies Emerton's Jacquet module functor for locally analytic representations of p-adic reductive groups, introduced in [Eme06a]. When P is a parabolic subgroup whose Levi factor M is not commutative, we show that passing to an isotypical subspace for the derived subgroup of M gives rise to essentially admissible locally analytic representations of the torus Z(M), which have a natural interpretation in terms of rigid geometry. We use this to extend the construction in of eigenvarieties in [Eme06b] by constructing eigenvarieties interpolating automorphic representations whose local components at p are not necessarily principal series.
| Type: | Article |
|---|---|
| Title: | Emerton's Jacquet functors for non-Borel parabolic subgroups |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/DM/325 |
| Publisher version: | https://doi.org/10.4171/DM/325 |
| Language: | English |
| Additional information: | Copyright © The Author 2011. This article is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Eigenvarieties, p-adic automorphic forms, completed cohomology |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10160054 |
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