The Gelfand--Graev representation of SO(2n+1) in terms of Hecke\n algebras

2020/11/04 by Petar Bakić, Bakic, Petar, Gordan Savin +1
Mathematics · #11F70 (Primary) 22E50 #20C08 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2011.02456

openalex publication_date 2020/11/04 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Let G be a p-adic classical group. The representations in a given\nBernstein component can be viewed as modules for the corresponding Hecke\nalgebra---the endomorphism algebra of a pro-generator of the given component.\nUsing Heiermann's construction of these algebras, we describe the Bernstein\ncomponents of the Gelfand--Graev representation for G=SO(2n+1).\n

Citations

• Paramètres de Langlands et Algèbres d'entrelacement
• On Certain L-Functions

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