English

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

Rings and Algebras 2020-01-22 v1

Abstract

The paper is devoted to the study of pro-solvable Lie algebras whose maximal pro-nilpotent ideal is either m0\mathfrak{m}_0 or m2\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.

Keywords

Cite

@article{arxiv.2001.06621,
  title  = {On pro-solvable Lie algebras with maximal pro-nilpotent ideals $\mathfrak{m}_0$ and $\mathfrak{m}_2$},
  author = {K. K. Abdurasulov and B. A. Omirov and G. O. Solijanova},
  journal= {arXiv preprint arXiv:2001.06621},
  year   = {2020}
}