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Ufa Mathematical Journal, 2014, Volume 6, Issue 1, Pages 90–103
DOI: https://doi.org/10.13108/2014-6-1-90
(Mi ufa236)
 

This article is cited in 11 scientific papers (total in 11 papers)

Optimal system of non-similar subalgebras of sum of two ideals

D. T. Siraeva

Ufa State Aviation Technical University, Ufa, Russia
References:
Abstract: We consider a twelve-dimensional Lie algebra $L_{12}$ admitted by the gas dynamic equations with state equation of a special form. Lie algebra $L_{12}$ is a direct sum of two ideals $L_{11}$ and $Y_1$. For Lie algebra $L_{11}$ admitted by gas dynamic equations with an arbitrary equation of state, the optimal system of non-similar subalgebras is built up to inner automorphisms. Using the optimal system for Lie algebra $L_{11}$, in the article we obtain an optimal system of non-similar subalgebras of the sum of two ideals for $L_{11}$ and $Y_1$ and the rule of construction of such subalgebras.
Keywords: Lie algebra, optimal system, gas dynamics.
Received: 05.08.2013
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 1, Pages 94–107
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q99
Language: English
Original paper language: Russian
Citation: D. T. Siraeva, “Optimal system of non-similar subalgebras of sum of two ideals”, Ufimsk. Mat. Zh., 6:1 (2014), 94–107; Ufa Math. J., 6:1 (2014), 90–103
Citation in format AMSBIB
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\pages 94--107
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Linking options:
  • https://www.mathnet.ru/eng/ufa236
  • https://doi.org/10.13108/2014-6-1-90
  • https://www.mathnet.ru/eng/ufa/v6/i1/p94
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
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    Abstract page:232
    Russian version PDF:82
    English version PDF:10
    References:45
     
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