TY - JOUR N1 - 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/). Y1 - 2011/// TI - Emerton's Jacquet functors for non-Borel parabolic subgroups EP - 31 SN - 1431-0635 N2 - 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. VL - 16 JF - Documenta Mathematica PB - UNIV BIELEFELD SP - 1 ID - discovery10160054 AV - public UR - https://doi.org/10.4171/DM/325 A1 - Hill, Richard A1 - Loeffler, David KW - Eigenvarieties KW - p-adic automorphic forms KW - completed cohomology ER -