An adjunction formula for the Emerton-Jacquet functor

作者:Bergdall John*; Chojecki Przemyslaw
来源:Israel Journal of Mathematics, 2018, 223(1): 1-52.
DOI:10.1007/s11856-017-1611-y

摘要

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.

  • 出版日期2018-2