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

Autor:	Abdurasulov, K. K., Rakhimov, I. S., Solijanova, G. O.
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	In the paper we describe the derivations of two $\mathbb{N}$-graded infinity-dimensional Lie algebras $\mathbf{n}_1$ and $\mathbf{n}_1$ what are positive parts of affine Kats-Moody algebras $A^{(1)}_1$ and $A^{(2)}_2$, respectively. Then we construct all pro-solvable Lie algebras whose potential nilpotent ideals are $\mathbf{n}_1$ and $\mathbf{n}_2$. For two specific representatives of these classes low-dimensional (co)homology groups are computed.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.10178 Zobrazit plný text záznamu View this record from Arxiv