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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 $\Delta(\lambda+\mu) \to \Delta(\lambda) \otimes \Delta(\mu)$ over $\mathbb{Z}_{(p)}$, where $\Delta(\nu)$ is the Weyl module of the classical Schur algebra labelled by $\nu$.

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Ming Fang, Kay Jin Lim, Kai Meng Tan. 2020-07-22. Young's seminormal basis vectors and their denominators. https://arxiv.org/abs/2007.11188

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