@article{Sorensen_2017, title={A note on Jacquet functors and ordinary parts}, volume={121}, url={https://www.mscand.dk/article/view/26363}, DOI={10.7146/math.scand.a-26363}, abstractNote={<p>In this note we relate Emerton’s Jacquet functor $J_P$ to his ordinary parts functor $\operatorname{Ord} _P$, by computing the χ-eigenspaces $\operatorname{Ord} ^{\chi }_P$ for central characters χ. This fills a small gap in the literature. One consequence is a weak adjunction property for \textit {unitary} characters χ appearing in $J_P$, with potential applications to local-global compatibility in the $p$-adic Langlands program in the ordinary case.</p>}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Sorensen, Claus}, year={2017}, month={Oct.}, pages={311–319} }