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

中文翻译：

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杨氏半正规基向量及其分母

我们研究了对称群的对偶 Specht 模的杨氏半正规基向量，由某一类标准表及其分母索引。这些向量包括那些分母控制规范态射分裂的向量$\mathrm{\Delta }(\lambda +\mu )\to \mathrm{\Delta }(\lambda )\otimes \mathrm{\Delta }(\mu )$ 超过 ${\mathbb{Z}}_{(\mathit{\text{磷}})}$， 在哪里 $\mathrm{\Delta }(\nu )$是用ν标记的经典 Schur 代数的 Weyl 模。