The graded algebra and the derivative \(\overline {\mathcal L}\) of spinor fields related to the twistor equation
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.
scientific article; zbMATH DE number 866113
scientific article