On the relationship between twistors and Clifford algebras
type: Item
instance of: scholarly article
title: On the relationship between twistors and Clifford algebras
zbMATH Open document ID: 0593.15022
DOI: 10.1007/BF00400713
author: B. George
published in: Letters in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: Let C be the Clifford algebra associated with the complexification of a Minkowski space-time M, so that C is the ring of 4 by 4 complex matrices, and let S be the spinor space of C, that is, a minimal left ideal. The authors define a ''space of index one twistors'' to be S together with the natural representation of the conformal group of M via C. There is an isomorphism between \(S\otimes S\) and C which the authors refine to give the symmetric and antisymmetric parts of \(S\otimes S\) in terms of the grading in C; this permits an interpretation of the formalism of skew products of twistors in terms of the product in the Clifford algebra.
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 3952979
zbMATH Keywords: Minkowski space-time
zbMATH Keywords: spinor space
zbMATH Keywords: twistors
zbMATH Keywords: conformal group
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00400713
OpenAlex ID: W2080282813
description: scientific article; zbMATH DE number 3952979