Geodesic
Vector parametrization of the complex Lorentz group
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 67-74

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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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     author = {A. A. Bogush and F. I. Fedorov},
     title = {Vector parametrization of the complex {Lorentz} group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {13},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a3/}
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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/