| n-李代数的Hypo-幂零理想 |
| |
| 引用本文： | 白瑞蒲,吴万青,时翠梅.n-李代数的Hypo-幂零理想[J].黑龙江大学自然科学学报,2011,28(1):4-7. |
| |
| 作者姓名： | 白瑞蒲 吴万青 时翠梅 |
| |
| 作者单位： | 1. 河北大学,数学与计算机学院,保定,071002
2. 河北工程大学,理学院,邯郸,056000 |
| |
| 基金项目： | 国家自然科学基金资助项目，河北省自然科学基金资助项目 |
| |
| 摘 要： | 研究n-李代数的Hypo-幂零理想,及具有5维极大Hypo-幂零理想的所有可解3-李代数的结构.证明可解非幂零n-李代数一定存在Hypo-幂零理想,且其幂零根基的余维数等于1.给出可解非幂零3-李代数的极大Hypo-幂零理想与3-李代数的维数关系.对具有一类特殊5-维极大次幂零理想的可解3-李代数的每一类3-李代数,分...
|
| 关 键 词： | n-李代数 Hypo-幂零理想 可解3-李代数 |
Hypo-Nilpotent ideals of n-Lie algebras |
| |
| BAI Rui-pu,WU Wan-qing,SHI Cui-mei.Hypo-Nilpotent ideals of n-Lie algebras[J].Journal of Natural Science of Heilongjiang University,2011,28(1):4-7. |
| |
| Authors: | BAI Rui-pu WU Wan-qing SHI Cui-mei |
| |
| Institution: | BAI Rui-pu1,WU Wan-qing1,SHI Cui-mei 2(1.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China,2 College of Science,Hebei University of Engineering,Handan 056000,China) |
| |
| Abstract: | The Hypo-nilpotent ideals of n-Lie algebras and the algebraic structure of solvable 3-Lie algebras which have a 5 dimensional Hypo-nilpotent ideal N are mainly concerned.It is proven that there exist Hypo-nilpotent ideals for the solvable non-nilpotent n-Lie algebras,and the co-dimension of the nilpotent radical is one.The dimensional relations between the maximal Hypo-nilpotent ideals of solvable non-nilpotent 3-Lie algebras and 3-Lie algebras are offered.For a class of 3-Lie algebras which have special a ... |
| |
| Keywords: | n-Lie algebra Hypo-nilpotent ideal solvable 3-Lie algebra |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
