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.

DOI

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

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