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三次可解型非退化李代数及其导子李代数的结构
  • 期刊名称：数学学报 49(2)(2006), 271-282
  • 时间：0
  • 作者或编辑：3448
  • 语言：中文
  • 分类：O152.5[理学—数学;理学—基础数学]
  • 作者机构：[1]首都师范大学数学系,北京100037
  • 相关基金：国家自然科学基金资助项目（10271081）
  • 相关项目：群和代数的结构与表示
作者： 卢才辉|李昕|
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, 3-solvable non-degenerate Lie algebra, derivation Lie algebra, invariant symmetric bilinear form
中文摘要：

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．

英文摘要：

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.

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