Abstract:
We consider the problem of the reduction of unitary irreducible representations of the generalized Poincaré groups P(1,n) with respect to their subgroups P(1,n−k). We find the explicit form of the unitary operator that relates the canonical basis of the representation to the P(1,n−k)-basis. The action of the generators in the P(1,n−k)-basis
is given explicitly. The case of the inhomogeneous de Sitter group is considered in detail.
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
\Bibitem{NikFusYur76}
\by A.~G.~Nikitin, W.~I.~Fushchych, I.~I.~Yurik
\paper Reduction of irreducible unitary representations of generalized Poincar\'e groups with respect to their subgroups
\jour TMF
\yr 1976
\vol 26
\issue 2
\pages 206--220
\mathnet{http://mi.mathnet.ru/tmf3189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=455996}
\zmath{https://zbmath.org/?q=an:0319.22018|0412.22013}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 2
\pages 138--147
\crossref{https://doi.org/10.1007/BF01079419}
Linking options:
https://www.mathnet.ru/eng/tmf3189
https://www.mathnet.ru/eng/tmf/v26/i2/p206
This publication is cited in the following 1 articles:
V I Fushchich, A G Nikitin, “Reduction of the representations of the generalised Poincare algebra by the Galilei algebra”, J. Phys. A: Math. Gen., 13:7 (1980), 2319
Citation in format AMSBIB
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