Geodesic
Representations of the Lorentz group and generalization of helicity states
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 328-340

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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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     author = {Ya. A. Smorodinskii and M. Khusar},
     title = {Representations of the {Lorentz} group and generalization of helicity states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {328--340},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_4_3_a5/}
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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/