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08 May 2024
 
  » arxiv » 1506.2151

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An adjunction formula for the Emerton-Jacquet functor
John Bergdall ; Przemyslaw Chojecki ;
Date 6 Jun 2015
AbstractThe 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.
Source arXiv, 1506.2151
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