Reduction of irreducible unitary representations of generalized Poincar\'e groups with respect to their subgroups
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 2, pp. 206-220
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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.
@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},
publisher = {mathdoc},
volume = {26},
number = {2},
year = {1976},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_2_a6/}
}
TY - JOUR AU - A. G. Nikitin AU - W. I. Fushchych AU - I. I. Yurik TI - Reduction of irreducible unitary representations of generalized Poincar\'e groups with respect to their subgroups JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1976 SP - 206 EP - 220 VL - 26 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1976_26_2_a6/ LA - ru ID - TMF_1976_26_2_a6 ER -
%0 Journal Article %A A. G. Nikitin %A W. I. Fushchych %A I. I. Yurik %T Reduction of irreducible unitary representations of generalized Poincar\'e groups with respect to their subgroups %J Teoretičeskaâ i matematičeskaâ fizika %D 1976 %P 206-220 %V 26 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1976_26_2_a6/ %G ru %F TMF_1976_26_2_a6
A. G. Nikitin; W. I. Fushchych; I. I. Yurik. Reduction of irreducible unitary representations of generalized Poincar\'e 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/