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All irreducible representations of the Green-Volkov algebra in the configuration space are realized on the class of certain symmetry many-particles functions. It is shown that any state in these representations can be labelled by the eigenvalues of the "isospin" and its third projection. In the framework of the Green-Volkov parafield theory an electromagnetic interaction, which breaks up "isospin" symmetry, is formulated. A charge-conjugation transformation is reformulated. The manifest matrix transformation from the Green-Volkov parafield to two usual Fermi-fields is introduced. Thus the Green-Volkov field is shown to be equivalent to the usual Fermi-field with "isospin.
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This paper treats some essential results obtained by the authors in quantum field theory with infinite multiplets. The explicit expression of the matrix of finite Lorentz transformation is found. The interaction of infinite multiplets is studied and its specific properties are shown. The quantizatio