Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic

2024/09/09 by Mancini, Gaëtan
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2410.07179

openalex publication_date 2024/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be an algebraically closed field of characteristic p>0. In this master thesis, we classify multiplicity-free tensor products of simple modules for the groups SL₂(k) and SL₃(k). We also provide a classification for SL_n(k) when p=2 and give partial results in the case of Sp₄(k).

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