A character relationship between symmetric group and hyperoctahedral\n group

2019/12/18 by Frank Lübeck, Lübeck, Frank, Dipendra Prasad +3 · 1 citation
Chemistry · Mathematics · #11F70 22E55 #Advanced Algebra and Geometry #Automorphism #Automorphism group #Character (mathematics) #Character table #Combinatorics #Diagram #FOS: Mathematics #Finite Group Theory Research #Geometry #Group (periodic table) #Inner automorphism #Mathematics #Molecular spectroscopy and chirality #Number Theory (math.NT) #Outer automorphism group #Physics #Pure mathematics #Quantum mechanics #Representation Theory (math.RT) #Symmetric group #math.NT #math.RT #msc:11F70 #msc:22E55

paper · pdf · doi:10.48550/arxiv.1912.08576

published in arXiv (Cornell University) (Cornell University) · This version contains an appendix by Arvind Ayyer

openalex publication_date 2019/12/18 · arxiv created 2020/03/21 · arxiv updated 2020/03/24 · 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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