Clifford algebra approach to twistors

DOI10.1063/1.525342zbMath0519.53063OpenAlexW1619282347MaRDI QIDQ3668456

Jan Rzewuski, R. Ablamowicz, Zbigniew Oziewicz

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525342

zbMATH Keywords

Clifford numberscomplex Dirac-Clifford algebraPenrose projectiontensor product of twistor spaces

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

On the relationship between twistors and Clifford algebras, On some geometrical consequences of physical symmetries, Clifford algebra and the propagation of Kähler spinors, Bispinor geometry for even-dimensional space-time, CONFORMAL STRUCTURES AND TWISTORS IN THE PARAVECTOR MODEL OF SPACETIME, Geometric roots of \(-1\) in Clifford algebras \(C \ell_{p,q}\) with \(p + q \leq 4\), Solution of the Dirac equation in plane wave metric backgrounds, The Clifford algebra of differential forms, On the projections of representation spaces of the symmetry group on the Minkowski space

Cites Work

• Spinor space
• Idempotent matrices from a generalized Clifford algebra
• Generalised quaternion methods in conformal geometry
• Clifford modules
• Wave equations in conformal space
• Lorentz Invariance and the Gravitational Field
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• Translations as gauge transformations
• The inhomogeneous lorentz group and the conformal group
• Twistor Algebra