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Irreducibility of some unitary representations of the poincaré group with respect to the Poincaré subsemigroup, II

Published online by Cambridge University Press:  22 January 2016

Hitoshi Kaneta
Hitoshi Kaneta*
Affiliation:
Department of Mathematics, Nagoya University
*
Department of Mathematics, Faculty of Education, Tokushima University
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Let P+(3) and P+(3) be the 3-dimensional space-time Poincaré group and the Poincaré subsemigroup, that is, P(3) = R3 × sSU(1, 1) and P+(3) = V+(3)=SSU(1, 1) where The multiplication is defined by the formula (x, g)(x′, g′) = (x + g*−1x′g−1, gg′) for x, x′ ∈ R3 and g, g′ ∈ SU(l, 1). Here x = (x0, x1, x2) is identified with the matrix

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 87 , November 1982 , pp. 147 - 174
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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