Abstract
A general theory of the realizations of Lie groups by means of canonical transformations in classical mechanics, proposed in a preceding paper, is applied to the rotation group. A number of significant physical examples corresponding to nonirreducible realizations is treated in detail: specifically, the mass point, the rotator, and the rigid body with a fixed point. The explicit form of the possible irreducible realizations is worked out. Such realizations do not directly correspond to any realistic physical model but play a relevant role for the introduction of the spin in classical mechanics.
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