The inductive blockwise Alperin weight condition for type \mathsf C and the prime 2

2020/07/27 by Zhicheng Feng, Feng, Zhicheng, Gunter Malle +1
Computer Science · Mathematics · #20C20 #20C33 #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2007.13378

openalex publication_date 2020/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the inductive blockwise Alperin weight condition for simple groups of Lie type \mathsf C and the bad prime 2. As a main step, we derive a labelling set for the irreducible 2-Brauer characters of the finite symplectic groups Sp_2n(q) (with odd q), together with the action of automorphisms. As a further important ingredient we prove a Jordan decomposition for weights.

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