Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals

被引：4

作者：

Le, Vu A. ^{[1
]}

Nguyen, Tuan A. ^{[2
]}

Nguyen, Tu T. C. ^{[3
,4
]}

Nguyen, Tuyen T. M. ^{[3
,5
]}

Vo, Thieu N. ^{[6
,7
]}

机构：

[1] Vietnam Natl Univ, Univ Econ & Law, Dept Econ Math, Ho Chi Minh City, Vietnam

[2] Ho Chi Minh City Univ Educ, Dept Primary Educ, Ho Chi Minh City, Vietnam

[3] Vietnam Natl Univ, Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[4] Can Tho Univ, Coll Nat Sci, Can Tho City, Vietnam

[5] Dong Thap Univ, Fac Math & Comp Sci Teacher Educ, Cao Lanh City, Dong Thap Provi, Vietnam

[6] Ton Duc Thang Univ, Fac Math & Stat, Fract Calculus Optimizat & Algebra Res Grp, Ho Chi Minh City, Vietnam

[7] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 05期

关键词：

Lie algebra; nilradical; EXTENSIONS;

D O I：

10.1080/00927872.2022.2145300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By combining basic techniques in Lie Theory and a computer algebra tool which is the so-called triangular decomposition, the class of 7-dimensional real and complex indecomposable solvable Lie algebras having 5-dimensional nilradicals is classified up to isomorphism. In association with Gong (1998), Parry (2007), Hindeleh and Thompson (2008), we achieve a full classification of 7-dimensional real and complex indecomposable solvable Lie algebras.

引用

页码：1866 / 1885

页数：20

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