Abstract

We consider the quaternionic complete symmetry group of a massive physical system, obtained extending the connected Poincaré group and the internal symmetry group by means of the CPT and the generalized parity operators. We classify the irreducible Q-representations of this group crossing the generalized Wigner and Frobenius–Schur classifications, and obtain 14 different cases. Some novelties arise in this context, such as the failure of the statement that only irreducible representations must be associated with particle multiplets, and a suggestion on the possible forms of a parity-violating Hamiltonian.

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