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arXiv · 1112.3127

Hooks generate the representation ring of the symmetric group

Ivan Marin
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Abstract

We prove that the representation ring of the symmetric group on $n$ letters is generated by the exterior powers of its natural $(n-1)$-dimensional representation. The proof we give illustrates a strikingly simple formula due to Y. Dvir. We provide an application and investigate a possible generalization of this result to some other reflection groups.

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Ivan Marin. 2011-12-14. Hooks generate the representation ring of the symmetric group. https://arxiv.org/abs/1112.3127

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