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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 4, Pages 114–125
DOI: https://doi.org/10.33048/SIBJIM.2020.23.409
(Mi sjim1113)
 

A parametrization of the general Lorentz group

N. I. Ostrosablin

Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia
References:
Abstract: 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.
Keywords: Lorentz transformation, relativity theory, wave equation, Lorentz group, orthogonal matrix, infinitesimal operator. .
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences III.23.3.1
The author was supported by the Program of Basic Research of the Siberian Branch of the Russian Academy of Sciences (project no. III.23.3.1).
Received: 12.03.2020
Revised: 12.03.2020
Accepted: 10.09.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 4, Pages 743–753
DOI: https://doi.org/10.1134/S1990478920040122
Bibliographic databases:
Document Type: Article
UDC: 530.12:512.54:517.958
Language: Russian
Citation: N. I. Ostrosablin, “A parametrization of the general Lorentz group”, Sib. Zh. Ind. Mat., 23:4 (2020), 114–125; J. Appl. Industr. Math., 14:4 (2020), 743–753
Citation in format AMSBIB
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\by N.~I.~Ostrosablin
\paper A parametrization of the general Lorentz group
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 4
\pages 114--125
\mathnet{http://mi.mathnet.ru/sjim1113}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.409}
\elib{https://elibrary.ru/item.asp?id=44967412}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 4
\pages 743--753
\crossref{https://doi.org/10.1134/S1990478920040122}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85100202958}
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    Сибирский журнал индустриальной математики
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