Unitary representations of the conformal group
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 181-189 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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