Nilpotent Lie algebras of class $4$ with the derived subalgebra of dimension $3$

Abstract

The paper is devoted to give a full classification of all finite dimensional nilpotent Lie algebras $L$ of class $4$ such that $\dim L^2=3.$ Moreover, we classify the capable ones.

arXiv admin note: text overlap with arXiv:1712.01542

References in corpus (1)

• Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field

Cited by in corpus (2)

• Nilpotent Lie Algebras of breadth type $(0,3)$
• Nilpotent Lie algebras with two centralizer dimensions over a finite field