An adjunction formula for the Emerton-Jacquet functor
arXiv:1506.02151 · doi:10.1007/s11856-017-1611-y
Abstract
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.
36 pages. Minor changes from v2. Final version. To appear in Israel J. Math