| Abstract: | The analog of the polar decomposition theorem in Euclidean space is obtained in Minkowski space. The possibility of considering spinors in arbitrary frames is established by extending a Lorentz-group representation to a representation of the complete linear group in the space of spinors. The Lie derivative of spinors along arbitrary vector fields is constructed, and a Noether theorem for spinor fields is proved.Kazan State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 90, No. 3, pp. 369–379, March, 1992. |
