On characters of wreath products
Representation Theory
2022-06-17 v3 Combinatorics
Abstract
A character identity which relates irreducible character values of the hyperoctahedral group to those of the symmetric group was recently proved by L\"ubeck 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.
Keywords
Cite
@article{arxiv.2107.11899,
title = {On characters of wreath products},
author = {Ron M. Adin and Yuval Roichman},
journal= {arXiv preprint arXiv:2107.11899},
year = {2022}
}
Comments
10 pages, result extended from cyclic to abelian groups, to appear in Combinatorial Theory