Loading [MathJax]/jax/output/SVG/config.js
Sibirskii Zhurnal Industrial'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (483 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/SIBJIM.2020.23.409
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
\Bibitem{Ost20}
\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}
Linking options:
  • https://www.mathnet.ru/eng/sjim1113
  • https://www.mathnet.ru/eng/sjim/v23/i4/p114
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:227
    Full-text PDF :132
    References:37
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025