A note on the decomposition numbers of \(\text{Sp}(4,q)\)
type: Item
instance of: scholarly article
title: A note on the decomposition numbers of \(\text{Sp}(4,q)\)
zbMATH Open document ID: 0867.20015
author: Katsushi Waki
published in: Journal of Algebra
publication date: 1997-04-09T00:00:00Z
review text: The decomposition numbers of the symplectic group \(\text{SP}(4,q)\), \(q=p^n\), \(p\) prime, in characteristic other than \(p\) were determined by \textit{D. L. White} [J. Algebra 132, No. 2, 488-500 (1990; Zbl 0705.20010); ibid. 177, No. 1, 264-276 (1995; Zbl 0845.20008)] with one ambiguity concerning the principal block. The author of the present paper removes this ambiguity by imposing some conditions on the structure of \(\text{SP}(4,q)\).
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 954744
zbMATH Keywords: modular representations
zbMATH Keywords: decomposition numbers
zbMATH Keywords: symplectic groups
zbMATH Keywords: principal blocks
reviewed by: M. R. Darafsheh
MaRDI profile type: Publication
full work available at URL: jabr.1996.0364
OpenAlex ID: W1983761660
DOI: 10.1006/JABR.1996.0364
description: scientific article; zbMATH DE number 954744