Metrics are Clifford algebra involutions
type: Item
instance of: scholarly article
title: Metrics are Clifford algebra involutions
zbMATH Open document ID: 0656.15016
DOI: 10.1007/BF00670747
author: John Dauns
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: Let \({\mathcal C}(1,n-1)\) denote the Clifford algebra arising from the real space \({\mathbb{R}}^ n\) under a form of type \((-+...+)\). The author analyses the metric and the orthogonal group in terms of the involutions of the algebra \({\mathcal C}(1,n-1)\), and he discusses the relation between these algebras and the Pauli algebra \({\mathcal C}({\mathbb{R}}^ 3,+++)\). He also gives a physical interpretation of these relationships.
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 15A90
zbMATH DE Number: 4071116
zbMATH Keywords: Clifford algebra
zbMATH Keywords: metric
zbMATH Keywords: orthogonal group
zbMATH Keywords: involutions
zbMATH Keywords: Pauli algebra
MaRDI profile type: Publication
cites work: Q4177654
cites work: Q3946294
cites work: Q5839515
cites work: Quantum sets and Clifford algebras
cites work: Q5574699
cites work: Clifford algebra to geometric calculus. A unified language for mathematics and physics
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full work available at URL: https://doi.org/10.1007/bf00670747
OpenAlex ID: W2015046339
description: scientific article; zbMATH DE number 4071116