Construction of representations of the Poincaré Lie algebra by extension of direct integrals of representations ofSL(2,C)
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As a first application of a general method of construction, a class of representations of the Lie algebra of the Poincaré group, which includes Wigner’s representations with spin zero and positive mass, is obtained by forming suitable direct integrals of representations of class I of the principal series of SL(2, C) and extending them to by means of four additional momentum operators which are determined in explicit form.
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© Nicola Zanichelli Editore 1971