Representations of unramified U(2,2) over a p-adic field I: representations of non-integral level

2008/04/21 by Michitaka Miyauchi, Miyauchi, Michitaka
Mathematics · #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT #msc:22E50

paper · pdf · doi:10.48550/arxiv.0804.3194

26 pages

arxiv created 2008/04/21 · openalex publication_date 2008/04/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F₀ be a non-archimedean local field of odd residual characteristic and let G be the unramified unitary group U(2,2) defined over F₀. In this paper, we give a classification of the irreducible smooth representations of G of non-integral level using the Hecke algebraic method developed by Allen Moy for GSp(4).

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