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