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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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Introduction,ies of the Dirac equations are analyzed, and conformal transformations for massless fields with arbitrary spin are found in explicit form. Finally, some inverse problems of algebraic-theoretical analysis are solved which consist in the description of all possible (up to equivalence) linear equations invariant under a given Lie algebra.
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Symmetry of the Dirac and Kemmer-Duffin-Petiau Equations,Dirac equation with . = 0 is determined by the same 23-dimensional Lie algebra as the symmetry of Maxwell’s equations. We also investigate the symmetry of the Kemmer-Duffin-Petiau equation (KDP) for massive vector particles.
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Conclusion,en proposed that new terms be added to the celebrated equation of Maxwell for the electromagnetic field in free space. However, Maxwell’s theory turned out to be too consistent and too elegant to admit such a modification”.**
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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 is realized.
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