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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
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
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
Linking options:
https://www.mathnet.ru/eng/ufa236https://doi.org/10.13108/2014-6-1-90 https://www.mathnet.ru/eng/ufa/v6/i1/p94
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Abstract page: | 232 | Russian version PDF: | 82 | English version PDF: | 10 | References: | 45 |
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