Abstract
The irreducible nonunitary representations of the inhomogeneous Lorentz group which satisfy the condition that the complex energy-momentum 4 vectors be transformable into a rest frame by a real Lorentz rotation are found. By explicit construction of wave packets in configuration space it is seen that the vectors of the representation space have a natural interpretation as states of unstable particles. The new representations arise in the study of complex singularities associated with resonance poles in analytically continued scattering amplitudes.
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