Solvable quadratic Lie algebras

被引：0
|
作者：
Linsheng Zhu
机构：
[1] Changshu Institute of Technology,Department of Mathematics
来源：
Science in China Series A | 2006年 / 49卷
关键词：
solvable quadratic Lie algebra; cohomlogy; Cartan subalgebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A Lie algebra endowed with a nondegenerate, symmetric, invariant bilinear form is called a quadratic Lie algebra. In this paper, the author investigates the structure of solvable quadratic Lie algebras, in particular, the solvable quadratic Lie algebras whose Cartan subalgebras consist of semi-simple elements, the author presents a procedure to construct a class of quadratic Lie algebras from the point of view of cohomology and shows that all solvable quadratic Lie algebras can be obtained in this way.
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页码：477 / 493
页数：16
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