l-modular representations of p-adic groups SLn(F): maximal simple k-types

2020/12/14 by Peiyi Cui, Cui, Peiyi
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2012.07492

openalex publication_date 2020/12/14 · openalex created_date 2023/10/12 · openalex updated_date 2026/07/28

Abstract

Let p be an arbitrary prime number and k be an algebraically closed field of characteristic l different from p. We construct maximal simple k-types of Levi subgroups M' of SLn(F), when F is a non-archimedean locally compact field of residual characteristic p, which is to say that any cuspidal k-representation of M' can be compactly induced from an irreducible k-representation of a compact modulo centre subgroup of M', and we also prove the unicity property of intertwining implies conjugacy for maximal simple k-types, extended maximal simple k-types and simple k-characters of M'.

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