Trivial source character tables of SL₂(q), Part II

2022/05/03 by Niamh Farrell, Farrell, Niamh, Caroline Lassueur +1
Computer Science · Mathematics · #20C20 #20C33 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2205.01401

openalex publication_date 2022/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL₂(q) for q even, over a large enough field k of positive characteristic ℓ not dividing q. This article is a continuation of our article Trivial Source Character Tables of SL₂(q) where we considered, in particular, the case in which q is odd in cross-characteristic.

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