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Algebra i logika, 2008, Volume 47, Number 1, Pages 31–53 (Mi al344)  
This article is cited in 4 scientific papers (total in 4 papers)

Crystallographic classes in a 4-dimensional Minkovskii space

R. M. Garipov

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (230 kB) Citations (4)
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Abstract: On a crystallographic group, a condition of being topologically discrete is imposed which is weaker than is the conventional requirement for an action on space to be discontinuous. Isomorphism classification is given for crystallographic groups in three crystallographic classes in a 4-dimensional Minkovskii space, which are defined by unimodular subgroups of the general Lorentz group. In these classes are, respectively, 24, 36, and 68 crystallographic groups.
Keywords: crystallographic group, Minkovskii space, general Lorentz group.
Received: 07.05.2007
English version:
Algebra and Logic, 2008, Volume 47, Issue 1, Pages 18–31
DOI: https://doi.org/10.1007/s10469-008-0002-1
Bibliographic databases:
UDC: 512.865.3
Language: Russian
Citation: R. M. Garipov, “Crystallographic classes in a 4-dimensional Minkovskii space”, Algebra Logika, 47:1 (2008), 31–53; Algebra and Logic, 47:1 (2008), 18–31
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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