The graded algebra and the derivative \(\overline {\mathcal L}\) of spinor fields related to the twistor equation
type: Item
instance of: scholarly article
title: The graded algebra and the derivative \(\overline {\mathcal L}\) of spinor fields related to the twistor equation
zbMATH Open document ID: 0867.53033
DOI: 10.1016/0393-0440(95)00009-7
author: Katharina Habermann
published in: Journal of Geometry and Physics
publication date: 1996-04-16T00:00:00Z
review text: On a Riemannian spin manifold the author constructs a graded algebra whose even part consists of twistor spinors. The odd part is formed by the conformal vector fields. The product of a conformal vector field and a twistor spinor is the Lie derivative of the spinor field in the direction of the conformal field. As an example shows, this graded algebra is in general not a graded Lie algebra.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53C28
zbMATH DE Number: 866113
zbMATH Keywords: twistor equation
zbMATH Keywords: spin manifold
zbMATH Keywords: graded algebra
zbMATH Keywords: conformal vector field
zbMATH Keywords: Lie derivative
reviewed by: Hans-Bert Rademacher
MaRDI profile type: Publication
full work available at URL: 0393-0440(95)00009-7
OpenAlex ID: W1971904185
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description: scientific article; zbMATH DE number 866113