A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters
type: Item
instance of: scholarly article
title: A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters
zbMATH Open document ID: 1185.05151
author: Ernesto Vallejo
published in: The Electronic Journal of Combinatorics
publication date: 2010-03-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/0905.0218
full work available at URL: https://eudml.org/doc/230650
full work available at URL: v16i1n22.html
review text: Summary: We make explicit a stability property for Kronecker coefficients that is implicit in a theorem of \textit{Y. Dvir} [``On the Kronecker product of \(S_n\) characters,'' J. Algebra 154, No.\,1, 125--140 (1993; Zbl 0848.20006)]. Even in the simplest nontrivial case this property was overlooked despite of the work of several authors. As applications we give a new vanishing result and a new formula for some Kronecker coefficients.
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 5686761
zbMATH Keywords: stability property
zbMATH Keywords: Kronecker coefficient
MaRDI profile type: Publication
arXiv ID: 0905.0218
description: scientific article