Second adjointness for tempered admissible representations of a real\n group

2019/03/01 by Alexander Yom Din, Din, Alexander Yom · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1903.00582

Abstract

We study second adjointness in the context of tempered admissible\nrepresentations of a real reductive group. Compared to a recent result of Crisp\nand Higson, this generalizes from SL₂ to a general group, but specializes to\nonly considering admissible representations. We also discuss Casselman's\ncanonical pairing in this context, and the relation to Bernstein morphisms.\nAdditionally, we take the opportunity to discuss some relevant functors and\nsome of their relations.\n

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