Geodesic
Vector parametrization of the complex Lorentz group
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 67-74 
A. A. Bogush; F. I. Fedorov. Vector parametrization of the complex Lorentz group. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 67-74. http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the complex Lorentz group can be parametrized by means of two independent complex three-dimensional vectors, thus establishing a far-reaching analogy with the real Lorentz group. General expressions are obtained for finite transformations of irreducible finite-dimensional representations of the complex Lorentz group.

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