Second order symmetry operators

Understand

Using systematic calculations in spinor language, we obtain simple descriptions of the second order symmetry operators for the conformal wave equation, the Dirac-Weyl equation and the Maxwell equation on a curved four dimensional Lorentzian manifold.

• The conditions for existence of symmetry operators for the different equations are seen to be related.
• Computer algebra tools have been developed and used to systematically reduce the equations to a form which allows geometrical interpretation.