Towards the Derived Jacquet-Emerton Module Functor

2022/05/26 by Hao Lee, Lee, Hao
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2205.13107

openalex publication_date 2022/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a p-adic Lie group associated to a connected reductive group over ℚ_p. Let P be a parabolic subgroup of G and let M be a Levi quotient of P. In this paper, we define a δ-functor H^⋆J_P from the category of admissible locally analytic G-representations to the category of essentially admissible locally analytic M-representations that extends the Jacquet-Emerton module functor J_P defined by Emerton.

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