Wigner particles decompose uniquely into Lorentz principal-series representations, with explicit translation kernels showing that unitary translations stay within the principal series.
Wigner,On Unitary Representations of the Inhomogeneous Lorentz Group, Annals Math.40(1939) 149
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Celestial decomposition of Wigner's particles
Wigner particles decompose uniquely into Lorentz principal-series representations, with explicit translation kernels showing that unitary translations stay within the principal series.