On pro-solvable Lie algebras with maximal pro-nilpotent ideals \mathfrakm₀ and \mathfrakm₂

2020/01/18 by Kobiljon Abdurasulov, Abdurasulov, K. K., B. A. Omirov +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Topics in Algebra #Biological Activity of Diterpenoids and Biflavonoids #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2001.06621

openalex publication_date 2020/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper is devoted to the study of pro-solvable Lie algebras whose maximal pro-nilpotent ideal is either \mathfrakm₀ or \mathfrakm₂. Namely, we describe such Lie algebras and establish their completeness. Triviality of the second cohomology group for one of the obtained algebra is established.

Citations

• Naturally graded Lie algebras (Carnot algebras) of slow growth

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