Decomposition numbers for symmetric groups and composition factors of Weyl modules
type: Item
instance of: scholarly article
title: Decomposition numbers for symmetric groups and composition factors of Weyl modules
zbMATH Open document ID: 0845.20006
author: Karin Erdmann
published in: Journal of Algebra
publication date: 1996-06-06T00:00:00Z
review text: Let \(K\) be an algebraically closed field of prime characteristic \(p\) and \(n \in N\). The author proves that the composition multiplicities of Weyl modules for \(\text{GL} (n,k)\) are equal to decomposition numbers of the symmetric group \(S_r\) when \(r\) is allowed to vary. This result is a generalization of a result obtained by \textit{G. D. James} [Math. Z. 172, 161-178 (1980; Zbl 0438.20008)] where it is proved in the case of \(r = n\).
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 869815
zbMATH Keywords: composition multiplicities of Weyl modules
zbMATH Keywords: decomposition numbers
zbMATH Keywords: symmetric groups
reviewed by: M. R. Darafsheh
MaRDI profile type: Publication
full work available at URL: jabr.1996.0067
OpenAlex ID: W2067735166
DOI: 10.1006/JABR.1996.0067
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description: scientific article; zbMATH DE number 869815