Intertwining differential operators for spinor-form representations of the conformal group (Q801304)

In this paper the author produces examples of first and second order conformally invariant differential operators on Riemannian or pseudo- Riemannian manifolds, generalizing the known conformal invariance of the Dirac operator and Maxwell's equations. The restricted class of first order operators he considers act on forms with values in spinors and their symbols are linear combinations of Clifford multiplication, exterior and interior multiplication. A more general framework for first order operators was dealt with by \textit{H. Fegan} [Q. J. Math., Oxf. II. Ser. 27, 371-378 (1976; Zbl 0334.58016)]. The author also constructs a large family of second order operators at the end of the paper having in mind the application of all of these to intertwining operators for representations of SU(2,2) and \(SO(p+1,q+1)\).