2004/04/07 by Volker Heiermann, Heiermann, Volker
Mathematics · #11F70 #11F85 #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11F70 #msc:11F85 #msc:22E50
paper · pdf · doi:10.48550/arxiv.math/0404177
28 pages
arxiv created 2004/04/07 · openalex publication_date 2004/04/07 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
In a previous work, we have shown that a representation of a p-adic group obtained by (normalized) parabolic induction from an irreducible supercuspidal representation σ of a Levi subgroup M contains a subquotient which is square integrable, if and only if Harish-Chandra's μ-function has a pole in σ of order equal to the parabolic rank of M. The aim of the present article is to interpret this result in terms of Langlands' functoriality principle.