On characters of wreath products

2021/07/25 by Ron M. Adin, Adin, Ron M., Yuval Roichman +1
Mathematics · #05E10 #20C30 #20E22 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2107.11899

openalex publication_date 2021/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

A character identity which relates irreducible character values of the hyperoctahedral group B_n to those of the symmetric group S_2n was recently proved by Lübeck and Prasad. Their proof is algebraic and involves Lie theory. We present a short combinatorial proof of this identity, as well as a generalization to other wreath products.

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