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arXiv · 2107.11899

On characters of wreath products

Ron M. Adin·Yuval Roichman
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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 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.

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Ron M. Adin, Yuval Roichman. 2021-07-25. On characters of wreath products. https://arxiv.org/abs/2107.11899

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