On derivations and low-dimensional (co)homology groups of pro-sovable Lie algebras associated with n₁ and n₂

2020/12/18 by Abdurasulov, K. K., Rakhimov, I. S., Solijanova, G. O.
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2012.10178

Abstract

In the paper we describe the derivations of two ℕ-graded infinity-dimensional Lie algebras n₁ and n₁ 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 n₁ and n₂. For two specific representatives of these classes low-dimensional (co)homology groups are computed.

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