Abstract

A realization of the unitary representation [m, s] of the inhomogeneous Lorentz group is derived, in the case of nonzero mass, which has simple transformation properties yet has no superfluous spin components. A simple transformation then results in the Wigner realization of [m, s]. It is incidentally pointed out that fors ⊋ 0 the representation [m, s] is equivalent to the tensor product of [m, 0] with the representationD(s, 0) of the homogeneous Lorentz group.

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