An adjunction formula for the Emerton-Jacquet functor

Authors

John Bergdall, Bryn Mawr CollegeFollow
Przemyslaw Chojecki

Document Type

Article

Version

Author's Final Manuscript

Publication Title

Israel Journal of Mathematics

Volume

223

Publication Date

2018

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.

Citation

Berdgall, John and Przemyslaw Chojecki. 2018. "An adjunction formula for the Emerton-Jacquet functor." Israel Journal of Mathematics, 223.1: 1-52, 2018.

DOI

https://doi.org/10.1007/s11856-017-1611-y