A note on local periods for supercuspidal representations

2014/10/30 by Chong Zhang, Zhang, Chong
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1410.8274

openalex publication_date 2014/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a p-adic reductive group and H a unimodular spherical subgroup of G. Let π be a unitary supercuspidal representation of G. In this note, under a mild assumption, we show that local periods in Hom_H(π,ℂ) can be constructed by integrating the matrix coefficients of π over H.

Citations

• Une variante d'un résultat de Aizenbud, Gourevitch, Rallis et Schiffmann

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