The conjugacy character of \(S_ n\) tends to be regular
type: Item
instance of: scholarly article
title: The conjugacy character of \(S_ n\) tends to be regular
zbMATH Open document ID: 0639.20010
DOI: 10.1007/BF02787264
author: Ron Adin
author: Avital Frumkin
published in: Israel Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: For a finite group G, consider the conjugacy representation of G (i.e. the group algebra upon which the group acts by conjugation). Let \(\chi_ c\) denote the character of the conjugacy representation. In the paper under review \(\chi_ c\) is compared with the character \(\chi_ r\) of the regular representation (with respect to the standard inner product of class functions) when \(G=S_ n\), the symmetric group on n letters, and \(n\to \infty\). The authors prove that the angle between them tends to zero and the ratio of their norms tends to one as \(n\to \infty\).
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 4042138
zbMATH Keywords: conjugacy representation
zbMATH Keywords: character
zbMATH Keywords: regular representation
zbMATH Keywords: symmetric group
reviewed by: Mihály Szalay
MaRDI profile type: Publication
cites work: Q4101884
cites work: Q5340151
cites work: Theorem about the conjugacy representation of \(S_ n\)
cites work: Q3243274
full work available at URL: https://doi.org/10.1007/bf02787264
OpenAlex ID: W2015951057
description: scientific article; zbMATH DE number 4042138