Geodesic
Representations of the Lorentz group and generalization of helicity states
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 328-340 
Ya. A. Smorodinskii; M. Khusar. Representations of the Lorentz group and generalization of helicity states. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 328-340. http://geodesic.mathdoc.fr/item/TMF_1970_4_3_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The principal series of unitary representations of the Lorentz group is obtained by complexification of the three-dimensional group of rotations and by the solution of the eigenvalue equation for the Casimir operators. The representation obtained can be expressed simply in terms of $D$ functions (of the first and second kind) of the group of rotations. The harmonic analysis of the functions on the group is discussed. Spherical functions on a two-dimensional complex sphere are constructed.

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