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On the uniqueness of maximal solvable extensions of nilpotent Lie algebras
In the present paper we prove that under certain conditions on finite-dimensional nilpotent Lie algebra there exists a unique (up to isomorphism) maximal solvable extension of the nilpotent Lie algebra. This extension is isomorphic to the semidirect sum of the nilpotent Lie algebra and its a maximal torus. The comparisons …