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Abstract
As a first step towards partial wave analysis of a dilatation invariant S-operator, the Clebsch-Gordan coefficients for the Weyl group W (i.e. Poincaré group extended by dilatations) are derived using Mackey's theory of induced representations. Three cases of helicity coupling of two physical irreducible representations of W with any spin are treated: (a) m 2 1>0, m 2 2>0, (b) m 2 1>0, m 2 2=0, (c) m 2 1=0, m 2 2=0.
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