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arXiv · 2007.11188

Young's seminormal basis vectors and their denominators

Ming Fang·Kay Jin Lim·Kai Meng Tan
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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 $Δ(λ+μ) \to Δ(λ) \otimes Δ(μ)$ over $\mathbb{Z}_{(p)}$, where $Δ(ν)$ is the Weyl module of the classical Schur algebra labelled by $ν$.

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BibTeXRIS

Ming Fang, Kay Jin Lim, Kai Meng Tan. 2021-05-10. Young's seminormal basis vectors and their denominators. https://arxiv.org/abs/2007.11188

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