Hyperquaternions: a new tool for physics
type: Item
instance of: scholarly article
title: Hyperquaternions: a new tool for physics
zbMATH Open document ID: 1402.15018
author: Patrick R. Girard
author: Patrick Clarysse
author: Romaric Pujol
author: Robert Goutte
author: Philippe Delachartre
published in: Advances in Applied Clifford Algebras
publication date: 2018-08-29T00:00:00Z
review text: The authors present a hyper-quaternion formulation of Clifford algebras in \(n\) dimensions. The hyper-quaternion algebra is defined as a tensor product of a quaternion algebra \(\mathbb{H}\). The authors develop a generalised multi-vector calculus. Moreover, they show that, due to the isomorphism \(\mathbb{H} \otimes \mathbb{H} \simeq M(4,\mathbb{R})\), the hyper-quaternions yield real, complex and quaternion square matrices. Finally, some physical applications are discussed.
reviewed by: Nenad Manojlović
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 6928502
zbMATH Keywords: Clifford algebras
zbMATH Keywords: hyper-quaternions
zbMATH Keywords: quaternions
MaRDI profile type: Publication
full work available at URL: s00006-018-0881-8
OpenAlex ID: W2809688091
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DOI: 10.1007/S00006-018-0881-8
description: scientific article; zbMATH DE number 6928502