Titlebook: Symmetries of Maxwell’s Equations; W. I. Fushchich,A. G. Nikitin Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 1987 Algebra.M

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,Various Formulations of Maxwell’s Equations, turn out to be more convenient for solution of specific physical problem. Moreover, knowledge of the different forms of Maxwell’s equations opens the way to completely different generalizations of these equations.

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,Representations of the Poincaré Algebra,presentations. All inequivalent representations of the algebra P(1, 3) are found in a realization where the operators . and . have a common form for all classes of irreducible representations. Reduction of solutions of Maxwell’s equations with respect to irreducible representations of this algebra i

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Constants of Motion,rs of the electric and magnetic field strengthes which are conserved in time. Here it is a question of the classical conservations laws of energy, momentum, angular momentum, and the center of energy of the electromagnetic field. The existence of conserved quantities (constants of motion) is a most

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,Poincaré-Invariant Equations for a Massless Field with Arbitrary Spin,eneralization is interesting from a purely mathematical point of view, since it affords an opportunity for a new look at Maxwell’s equations which are only a link in an infinite chain of Poincaré-invariant equations for fields with zero mass. The equations considered below should also evoke practica