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Irreducible multiplier corepresentations of the extended Poincaré group

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The irreducible multiplier corepresentations of the extended Poincaré groupP are, for positive and zero mass, determined by generalized inducing from a generalized little group. This approach is compared with the previous one of Wigner. Form>0, and any spinj, a particular realization is noted which is manifestly covariant on all four components ofP. The choice of covering group forP is discussed, and reasons are given for preferring a group for whichS andT generate the quaternion group of order 8.

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Communicated by H. Araki

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Shaw, R., Lever, J. Irreducible multiplier corepresentations of the extended Poincaré group. Commun.Math. Phys. 38, 279–297 (1974).

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