On completeness of some pro-solvable Lie algebras-Reference-Cited by-同舟云学术

On completeness of some pro-solvable Lie algebras

Published:2023 Issue:19 Volume:37 Page:6395-6415
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Abdurasulov K.K.¹,Omirov B.A.²,Rakhimov I.S.³,Solijanova G.O.⁴

Affiliation:

1. V.I.Romanovski Institute of Mathematics Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

2. National University of Uzbekistan, Tashkent, Uzbekistan + New Uzbekistan University, Tashkent, Uzbekistan + V.I. Romanovski Institute of Mathematics Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

3. Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Shah Alam, Selangor Darul Ehsan, Malaysia

4. bNational University of Uzbekistan, Tashkent, Uzbekistan

Abstract

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.

Publisher

National Library of Serbia

Reference39 articles.

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