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Irreducibility of some unitary representations of the Poincaré group with respect to the Poincaré subsemigroup, I
Published online by Cambridge University Press: 22 January 2016
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Since E. Wigner set up a framework of the relativistically covariant quantum mechanics, several aspects of unitary representations of the Poincaré group have been investigated (see [8], [16]). In this paper it will be shown that some unitary representations of the Poincaré group are irreducible, even if they are restricted to the Poincaré semigroup (Theorem 1, 2 and 3).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1980
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