Geodesic
Optimal system of non-similar subalgebras of sum of two ideals
Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 90-103 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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D. T. Siraeva. Optimal system of non-similar subalgebras of sum of two ideals. Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 90-103. http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a8/

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