most citedCan solvable extensions of a nilpotent subalgebra be useful in the classification of solvable algebras with the given nilradical?

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math-ph2009★ 28 cited

Can solvable extensions of a nilpotent subalgebra be useful in the classification of solvable algebras with the given nilradical?

Libor Snobl, Dalibor Karasek

We construct all solvable Lie algebras with a specific n-dimensional nilradical n_{n,3} which contains the previously studied filiform nilpotent algebra n_{n-2,1} as a subalgebra b…