Author's Final Manuscript
Israel Journal of Mathematics
The Emerton–Jacquet functor is a tool for studying locally analytic representations of p-adic Lie groups. It provides a way to access the theory of p-adic automorphic forms. Here we give an adjunction formula for the Emerton–Jacquet functor, relating it directly to locally analytic inductions, under a strict hypothesis that we call non-critical. We also further study the relationship to socles of principal series in the non-critical setting.
Berdgall, John and Przemyslaw Chojecki. 2018. "An adjunction formula for the Emerton-Jacquet functor." Israel Journal of Mathematics, 223.1: 1-52, 2018.