Abstract
The mass operator M is introduced as an independent dynamical variable which is taken as the translation generator P_4 of the inhomogenous De Sitter group. The classification of representations of the algebra P(1,4) of this group is performed and the corresponding P(1,4) invariant equations for variable-mass particles are written out. In this way we have succeeded, in particular, in uniting the ``external'' and ``internal'' (SU_2) symmetries in a non-trivial fashion.
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