Geodesic
Unitary representations of the conformal group
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 181-189

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An explicit expression for the invariant Hermitian form is found for all representations of the conformal group for which it exists. Unitary representations are selected by the condition that this form be positive definite. 
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     author = {A. N. Leznov and I. A. Fedoseev},
     title = {Unitary representations of the conformal group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a2/}
}
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A. N. Leznov; I. A. Fedoseev. Unitary representations of the conformal group. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 181-189. http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a2/