Geodesic
A parametrization of the general Lorentz group
Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 4, pp. 114-125.

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We obtain the two new variants of an explicit parametrization for the general Lorentz group. Formulas are given for the direct and inverse four-dimensional Lorentz transformations. These formulas use the orthogonal three- or four-dimensional matrices. We find the infinitesimal operators of the proper Lorentz group and the multiplication formulas (commutators) of the infinitesimal operators. The orthogonal three- and four-dimensional matrices are parameterized by lower triangular matrices containing three or six independent parameters.
Mots-clés : Lorentz transformation, orthogonal matrix
Keywords: relativity theory, wave equation, Lorentz group, infinitesimal operator. . 
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N. I. Ostrosablin. A parametrization of the general Lorentz group. Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 4, pp. 114-125. http://geodesic.mathdoc.fr/item/SJIM_2020_23_4_a8/

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