三次可解型非退化李代数及其导子李代数的结构  

The Structure of 3-Solvable Non-Degenerate Lie Algebra and Its Derivation Lie Algebra

作　　者：卢右辉 李昕[1] 

机构地区：[1]首都师范大学数学系,北京100037

出　　处：《数学学报（中文版）》2006年第2期271-282,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10271081)

摘　　要：本文给出了非退化可解李代数的两个类型:三次可解型非退化李代数和扩充的 Heisenberg李代数,并确定三次可解型非退化李代数及其导子李代数的结构．In this paper, we present two types of the solvable Lie algebras with nondegenerate invariant bilinear form. They are extended Heisenberg Lie algebra and 3-solvable non-degenerate Lie algebra. We determined the structure of a class of 3- solvable non-degenerate Lie algebra and its Derivation Lie algebras.

关 键 词：三次可解型非退化李代数 导子李代数 不变对称双线性型 

分 类 号：O152.5[理学—数学]