Subrepresentation Theorem for p-adic Symmetric Spaces

2007/06/05 by Shinichi Kato, Kato, Shin-ichi, Keiji Takano +1 · 2 citations
Computer Science · Mathematics · #(Primary) 22E50 #(Secondary) 11F70 #20G25 #22E35 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0706.0567

openalex publication_date 2007/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of relative cuspidality for distinguished representations attached to p-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet's subrepresentation theorem to the relative case (symmetric space case) is established.

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• Transfer using Fourier transform and minimal representation of E₇
• Classification of distinguished representations of GL(2)

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