On pro-solvable Lie algebras with maximal pro-nilpotent ideals ${\mathfrak{m}}_0$ and ${\mathfrak{m}}_2$

Abstract

The paper is devoted to the study of pro-solvable Lie algebras whose maximal pro-nilpotent ideal is either ${\mathfrak{m}}_0$ or ${\mathfrak{m}}_2$. Namely, we describe such Lie algebras and establish their completeness. Triviality of the second cohomology group for one of the obtained algebra is established.

Cited by in corpus (1)

• On derivations and low-dimensional (co)homology groups of pro-sovable Lie algebras associated with ${\mathbf{n}}_1$ and ${\mathbf{n}}_2$