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  -