3-D Spinors, Spin-Weighted Functions and Their Applications

This systematic and selfcontained treatment of the theory of threedimensionalspinors and their applications fills an important gap in the literature.Without usi... » 

This systematic and selfcontained treatment of the theory of threedimensionalspinors and their applications fills an important gap in the literature.Without using the customary Clifford algebras frequently studied in connectionwith the representations of orthogonal groups spinors are developed in thiswork for threedimensional spaces in a language analogous to the spinorformalism used in relativistic spacetime. This work will serve graduatestudents and researchers in mathematics and mathematical and theoreticalphysics it is suitable as a course or seminar text as a reference text andmay also be used for selfstudy. TOCPreface. Rotations and Spinors. Spinweighted spherical harmonics. Spinweighted spherical harmonics withApplications. Spinweighted cylindrical harmonics. Spinor algebra. Spinoranalysis. Applications to general relativity. Appendix Spinors in fourdimensional spacetime. References. Index. «