eprintid: 10160054
rev_number: 7
eprint_status: archive
userid: 699
dir: disk0/10/16/00/54
datestamp: 2023-04-24 09:22:32
lastmod: 2023-04-24 09:22:32
status_changed: 2023-04-24 09:22:32
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Hill, Richard
creators_name: Loeffler, David
title: Emerton's Jacquet functors for non-Borel parabolic subgroups
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
keywords: Eigenvarieties, p-adic automorphic forms,
completed cohomology
note: 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/).
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.
date: 2011
date_type: published
publisher: UNIV BIELEFELD
official_url: https://doi.org/10.4171/DM/325
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 435106
doi: 10.4171/DM/325
lyricists_name: Hill, Richard
lyricists_id: RMHIL99
actors_name: Hill, Richard
actors_id: RMHIL99
actors_role: owner
funding_acknowledgements: EP/F04304X/2 [EPSRC]
full_text_status: public
publication: Documenta Mathematica
volume: 16
pagerange: 1-31
pages: 31
issn: 1431-0635
citation:        Hill, Richard;    Loeffler, David;      (2011)    Emerton's Jacquet functors for non-Borel parabolic subgroups.                   Documenta Mathematica , 16    pp. 1-31.    10.4171/DM/325 <https://doi.org/10.4171/DM%2F325>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10160054/1/01.pdf