Irreducible tensor products over alternating groups
type: Item
instance of: scholarly article
title: Irreducible tensor products over alternating groups
zbMATH Open document ID: 0998.20013
published in: Journal of Algebra
publication date: 2002-08-28T00:00:00Z
review text: Let \(F\) be an algebraically closed field of characteristic \(p>5\), \(S_n\) and \(A_n\) the symmetric and alternating group on \(n\) letters, respectively. In the paper under review, the authors classify irreducible tensor products for modular representations of the group \(A_n\) over \(F\). The case \(p=0\) has been treated by the same authors [in Pac. J. Math. 190, No. 2, 201-223 (1999; Zbl 1009.20013)], but the cases \(p=2,3\) and \(5\) remain open. The corresponding results on the similar problem for the group \(S_n\) have been obtained by them [in Bull. Lond. Math. Soc. 32, No. 3, 292-296 (2000; Zbl 1021.20010)].
reviewed by: A. Iranmanesh
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 1471827
zbMATH Keywords: modular representations
zbMATH Keywords: irreducible tensor products
zbMATH Keywords: Specht modules
zbMATH Keywords: Young diagrams
zbMATH Keywords: alternating groups
zbMATH Keywords: symmetric groups
author: Christine Bessenrodt
author: Alexander S. Kleshchev
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: jabr.2000.8284
OpenAlex ID: W2058255044
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DOI: 10.1006/JABR.2000.8284
description: scientific article; zbMATH DE number 1471827