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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 26, Number 2, Pages 206–220
(Mi tmf3189)
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This article is cited in 1 scientific paper (total in 1 paper)
Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups
A. G. Nikitin, W. I. Fushchych, I. I. Yurik
Abstract:
We consider the problem of the reduction of unitary irreducible representations of the generalized Poincaré groups $\mathscr P(1,n)$ with respect to their subgroups $\mathscr P(1, n-k)$. We find the explicit form of the unitary operator that relates the canonical basis of the representation to the $\mathscr P(1, n-k)$-basis. The action of the generators in the $\mathscr P(1, n-k)$-basis
is given explicitly. The case of the inhomogeneous de Sitter group is considered in detail.
Received: 18.03.1975
Citation:
A. G. Nikitin, W. I. Fushchych, I. I. Yurik, “Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups”, TMF, 26:2 (1976), 206–220; Theoret. and Math. Phys., 26:2 (1976), 138–147
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https://www.mathnet.ru/eng/tmf3189 https://www.mathnet.ru/eng/tmf/v26/i2/p206
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Abstract page: | 243 | Full-text PDF : | 103 | References: | 42 | First page: | 1 |
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