Young's seminormal basis vectors and their denominators

2020/07/22 by Ming Fang, Kay Jin Lim, Fang, Ming +3
Mathematics · #20C30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2007.11188

openalex publication_date 2020/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Young's seminormal basis vectors of the dual Specht modules of the symmetric group, indexed by a certain class of standard tableaux, and their denominators. These vectors include those whose denominators control the splitting of the canonical morphism Δ(λ+μ) → Δ(λ) ⊗ Δ(μ) over ℤ_(p), where Δ(ν) is the Weyl module of the classical Schur algebra labelled by ν.

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