On the Casselman-Jacquet functor

zbMath1468.14041arXiv1708.04046MaRDI QIDQ5136648

Alexander Yom Din, Tsao-Hsien Chen, Dennis Gaitsgory

Publication date: 27 November 2020

Full work available at URL: https://arxiv.org/abs/1708.04046

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Generalizations (algebraic spaces, stacks) (14A20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

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Wonderful asymptotics of matrix coefficient \(D\)-modules ⋮ Nearby cycles on Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and long intertwining functor ⋮ Second adjointness for tempered admissible representations of a real group

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