C. Bartolone, A. Di Bartolo, G. Falcone, “Solvable extensions of nilpotent complex Lie algebras of type <nobr>$\{2n,1,1\}$</nobr>”, Mosc. Math. J., 2018, Volume 18, Number 4,Pages <nobr>607

This article is cited in 4 papers

Solvable extensions of nilpotent complex Lie algebras of type $\{2n,1,1\}$

C. Bartolone, A. Di Bartolo, G. Falcone

Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, I-90123 Palermo, Italy

Abstract: We investigate derivations of nilpotent complex Lie algebras of type $\{2n,1,1\}$ with the aim to classify solvable complex Lie algebras the commutator ideals of which have codimension $1$ and are nilpotent Lie algebras of type $\{2n,1,1\}$.

Key words and phrases: solvable Lie algebras, derivations of a nilpotent Lie algebras, generalized Heisenberg algebras.

MSC: 17B05, 17B30

Language: English

DOI: 10.17323/1609-4514-2018-18-4-607-616