On completeness of some pro-solvable Lie algebras

被引：0

作者：

Abdurasulov, K. K. ^{[1
]}

Omirov, B. A. ^{[1
,2
,4
]}

Rakhimov, I. S. ^{[3
]}

Solijanova, G. O. ^{[2
]}

机构：

[1] Uzbek Acad Sci, VI Romanovski Inst Math, Univ St 9, Tashkent 100174, Uzbekistan

[2] Natl Univ Uzbekistan, Univ St 4, Tashkent 100174, Uzbekistan

[3] Fac Comp & Math Sci, Shah Alam 40450, Selangor Darul, Malaysia

[4] New Uzbekistan Univ, Mustaqillik Ave 54, Tashkent 100007, Uzbekistan

来源：

FILOMAT | 2023年 / 37卷 / 19期

关键词：

Lie algebra; Potentially nilpotent Lie algebra; Pro-nilpotent (pro-solvable) Lie algebra; Cohomology group; COHOMOLOGY; EXTENSIONS;

D O I：

10.2298/FIL2319395A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：6395 / 6415

页数：21

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