Vector parametrization of the complex Lorentz group

A. A. Bogush, F. I. Fedorov


Abstract: 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.

Received: 22.11.1971

 English version: Theoretical and Mathematical Physics, 1972, 13:1, 984–990

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