Maqola

On completeness of some pro-solvable Lie algebras

Kobiljon AbdurasulovV.I.Romanovski Institute of Mathematics Uzbekistan Academy of Sciences, Tashkent, UzbekistanB. A. OmirovNational University of Uzbekistan, Tashkent, Uzbekistan + New Uzbekistan University, Tashkent, Uzbekistan + V.I. Romanovski Institute of Mathematics Uzbekistan Academy of Sciences, Tashkent, UzbekistanI. S. RakhimovFaculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Shah Alam, Selangor Darul Ehsan, MalaysiaG.O. SolijanovabNational University of Uzbekistan, Tashkent, Uzbekistan

Filomatjournal2023en

ABI

Annotatsiya

In the paper we describe the derivations of two N-graded infinite-dimensional Lie algebras n1 and n2 which are the positive parts of the affine Kac-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 and compute low-dimensional (co)homology groups of the pro-solvable Lie algebras constructed.

Mavzular

Algebraic structures and combinatorial models Advanced Topics in Algebra Nonlinear Waves and Solitons

Identifikatorlar

DOI: 10.2298/fil2319395a

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