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arXiv · 1506.02151

An adjunction formula for the Emerton-Jacquet functor

John Bergdall·Przemyslaw Chojecki
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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.

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BibTeXRIS

John Bergdall, Przemyslaw Chojecki. 2016-11-21. An adjunction formula for the Emerton-Jacquet functor. https://doi.org/10.1007/s11856-017-1611-y

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