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

K. K. Abdurasulov; B. A. Omirov; G. O. Solijanova

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arXiv · 2001.06621

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

K. K. Abdurasulov·B. A. Omirov·G. O. Solijanova

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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.

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K. K. Abdurasulov, B. A. Omirov, G. O. Solijanova. 2020-01-18. On pro-solvable Lie algebras with maximal pro-nilpotent ideals $\mathfrak{m}_0$ and $\mathfrak{m}_2$. https://arxiv.org/abs/2001.06621

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