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arXiv · 1507.02047

A decomposition rule for certain tensor product representations of the symmetric groups

Takahiro Hayashi
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Abstract

In this paper, we give a combinatorial rule to calculate the decomposition of the tensor product (Kronecker product) of two irreducible complex representations of the symmetric group ${\mathfrak S}_n$, when one of the representations corresponds to a hook $(n-m, 1^m)$.

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Takahiro Hayashi. 2015-07-08. A decomposition rule for certain tensor product representations of the symmetric groups. https://arxiv.org/abs/1507.02047

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