On characters of wreath products

Ron M. Adin; Yuval Roichman

doi:10.5070/C62257894

On characters of wreath products

Ron M. Adin, Yuval Roichman

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

A character identity which relates irreducible character values of the hyperocta-hedral 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.

Original language	English
Article number	17
Journal	Combinatorial Theory
Volume	2
Issue number	2
DOIs	https://doi.org/10.5070/C62257894
State	Published - 2022

Keywords

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

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.5070/C62257894

Cite this

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title = "On characters of wreath products",

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 L{\"u}beck 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 = "Character identity, Murnaghan–Nakayama rule, col-ored permutations, partition, wreath product",

author = "Adin, {Ron M.} and Yuval Roichman",

note = "Publisher Copyright: {\textcopyright} 2022 by the author(s).",

year = "2022",

doi = "10.5070/C62257894",

language = "الإنجليزيّة",

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AU - Adin, Ron M.

AU - Roichman, Yuval

PY - 2022

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N2 - 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.

AB - 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.

KW - Character identity

KW - Murnaghan–Nakayama rule

KW - col-ored permutations

KW - partition

KW - wreath product

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U2 - 10.5070/C62257894

DO - 10.5070/C62257894

M3 - مقالة

SN - 2766-1334

VL - 2

JO - Combinatorial Theory

JF - Combinatorial Theory

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M1 - 17

ER -

On characters of wreath products

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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