Geodesic
Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 2, pp. 206-220 
A. G. Nikitin; W. I. Fushchych; I. I. Yurik. Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 2, pp. 206-220. http://geodesic.mathdoc.fr/item/TMF_1976_26_2_a6/
@article{TMF_1976_26_2_a6,
     author = {A. G. Nikitin and W. I. Fushchych and I. I. Yurik},
     title = {Reduction of irreducible unitary representations of generalized {Poincar\'e} groups with respect to their subgroups},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {206--220},
     year = {1976},
     volume = {26},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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