An adjunction formula for the Emerton-Jacquet functor
Representation Theory
2021-10-18 v3 Number Theory
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.
Cite
@article{arxiv.1506.02151,
title = {An adjunction formula for the Emerton-Jacquet functor},
author = {John Bergdall and Przemyslaw Chojecki},
journal= {arXiv preprint arXiv:1506.02151},
year = {2021}
}
Comments
36 pages. Minor changes from v2. Final version. To appear in Israel J. Math