%0 Journal Article
%@ 1431-0635
%A Hill, Richard
%A Loeffler, David
%D 2011
%F discovery:10160054
%I UNIV BIELEFELD
%J Documenta Mathematica
%K Eigenvarieties, p-adic automorphic forms,  completed cohomology
%P 1-31
%T Emerton's Jacquet functors for non-Borel parabolic subgroups
%U https://discovery.ucl.ac.uk/id/eprint/10160054/
%V 16
%X 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.
%Z 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/).