@article{discovery10160054, publisher = {UNIV BIELEFELD}, pages = {1--31}, note = {Copyright {\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/).}, journal = {Documenta Mathematica}, title = {Emerton's Jacquet functors for non-Borel parabolic subgroups}, volume = {16}, year = {2011}, 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.}, issn = {1431-0635}, author = {Hill, Richard and Loeffler, David}, url = {https://doi.org/10.4171/DM/325}, keywords = {Eigenvarieties, p-adic automorphic forms, completed cohomology} }