On the new invariance algebras and superalgebras of relativistic wave equations

Abstract

We show that any relativistic wave equation for a particle with mass m > 0 and arbitrary spin s is invariant under the Lie algebra of the group GL(2s + 1, C). The explicit form of basis elements of this algebra is given for any s. The complete sets of the symmetry operators of the Dirac and Maxwell equations are obtained, which belong to the classes of the firstand second-order differential operators with matrix coefficients. Corresponding new conservation laws and constants of motion are found.

Cite this paper

@inproceedings{FUSHCHYCH2003OnTN, title={On the new invariance algebras and superalgebras of relativistic wave equations}, author={W. I. FUSHCHYCH and Anatoly G. Nikitin}, year={2003} }