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

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

2011-12-03

arxiv.org/abs/1112.0687v1

Mathematics

Representation Theory

Scientific paper

We calculate all inequivalent irreducible representations of $\S_4$ by
specifying the matrices for adjacent transpositions and indicating how to
obtain general permutations in $\S_4$ 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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