LIE-ALGEBRAS OF CLASSICAL AND STOCHASTIC ELECTRODYNAMICS

The Lie algebras associated with infintesimal symmetry transformations of third-order differential equations of interest to classical electr odynamics and stochastic electrodynamics have been obtained. The struc ture constants for a general case are presented and the Lie algebra fo r each particular application is easily achieved. By the method used h ere it is not necessary to know the explicit expressions of the infini tesimal generators in order to determine the structure constants of th e Lie algebra.