A character relationship between symmetric group and hyperoctahedral\n group

2019/12/18 by Frank Lübeck, Lübeck, Frank, Dipendra Prasad +3
Chemistry · Mathematics · #11F70 22E55 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Molecular spectroscopy and chirality #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1912.08576

openalex publication_date 2019/12/18 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We relate character theory of the symmetric groups S_2n and S_2n+1\nwith that of the hyperoctahedral group B_n = ( mathbb Z/2)ⁿ rtimes S_n,\nas part of the expectation that the character theory of reductive groups with\ndiagram automorphism and their Weyl groups, is related to the character theory\nof the fixed subgroup of the diagram automorphism.\n

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