Matrix representation of quaternions
type: Item
instance of: scholarly article
title: Matrix representation of quaternions
zbMATH Open document ID: 1037.11075
DOI: 10.1016/S0024-3795(02)00535-9
author: Richard William Farebrother
author: Sven-Oliver Troschke
author: Jürgen Gross
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: The authors establish that there are 48 distinct triples of real \(4\times 4\) signed permutation matrices \(H,K,L\), subject to the well known conditions \(HH=-I\), \(HJ=K\) etc., which together with the identity matrix \(I\) will serve as a basis in the regular representation of the real quaternions.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 15A99
zbMATH DE Number: 1880079
zbMATH Keywords: quaternions
zbMATH Keywords: Kronecker product
zbMATH Keywords: matrix algebra
Wikidata QID: Q56091339
MaRDI profile type: Publication
cites work: Quaternions: Further contributions to a matrix oriented approach
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description: scientific article; zbMATH DE number 1880079