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
收藏
页码：6395 / 6415
页数：21
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