Young's Natural Representations of $\mathcal{S}_4$

Quinton Westrich

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arXiv · 1112.0687

Young's Natural Representations of $\mathcal{S}_4$

Quinton Westrich

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Abstract

We calculate all inequivalent irreducible representations of $§_4$ by specifying the matrices for adjacent transpositions and indicating how to obtain general permutations in $§_4$ from these transpositions. We employ standard Young tableaux methods as found in Sagan's \emph{The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions} (2001).

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Quinton Westrich. 2011-12-03. Young's Natural Representations of $\mathcal{S}_4$. https://arxiv.org/abs/1112.0687

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