On characters of wreath products

Research output: Contribution to journalArticlepeer-review

Abstract

A character identity which relates irreducible character values of the hyperocta-hedral group Bn to those of the symmetric group S2n 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.

Original languageEnglish
Article number17
JournalCombinatorial Theory
Volume2
Issue number2
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 by the author(s).

Keywords

  • Character identity
  • Murnaghan–Nakayama rule
  • col-ored permutations
  • partition
  • wreath product

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