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Complex representation theory of the electromagnetic field. (English) Zbl 1295.78004

The author describes properties of electromagnetic field and its coupling to electric current in terms of three-dimensional irreducible representations of the restricted Lorenz group. The paper deals with the details of the Lorentz group representation theory in low dimensions relevant for relativistic field theory.

MSC:

78A25 Electromagnetic theory (general)
78A02 Foundations in optics and electromagnetic theory
22E43 Structure and representation of the Lorentz group
22E60 Lie algebras of Lie groups
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