Young's Natural Representations of S₄

2011/12/03 by Quinton Westrich, Westrich, Quinton
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1112.0687

arxiv created 2011/12/03 · openalex publication_date 2011/12/03 · arxiv updated 2011/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions (2001).

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