Generalised row and column removal results for decomposition numbers of spin representations of symmetric groups in characteristic 2

2023/12/20 by Lucia Morotti, Morotti, Lucia
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2312.12955

openalex publication_date 2023/12/20 · openalex created_date 2023/12/22 · openalex updated_date 2026/07/28

Abstract

We prove generalised row and column removal results for decomposition numbers of spin representations of symmetric groups in characteristic 2, similar to Donkin's results for decomposition numbers of representations of symmetric groups.

Related

• Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2
• Defect 2 spin blocks of symmetric groups and canonical basis coefficients
• Composition factors of 2-parts spin representations of symmetric groups
• Spin characters of the symmetric group which are proportional to linear characters in characteristic 2
• Character values and decomposition matrices of symmetric groups