Optimal system of non-similar subalgebras of sum of two ideals
Dilara Siraeva ยท Ufimskii Matematicheskii Zhurnal ยท 2014
We consider a twelve-dimensional Lie algebra ๐ฟ 12 admitted by the gas dynamic equations with equation of state of a special form.Lie algebra ๐ฟ 12 is a direct sum of two ideals ๐ฟ 11 and ๐ 1 .For Lie algebra ๐ฟ 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 ๐ฟ 11 , in the article we obtain an optimal system for non-similar subalgebras of the sum of two ideals for ๐ฟ 11 and ๐ 1 and the rule of construction of such subalgebras.