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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

Hitoshi Kaneta
Hitoshi Kaneta*
Affiliation:
Department of MathematicsNagoya University
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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).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 78 , May 1980 , pp. 113 - 136
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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