Two Kinds of Solvable Complete Lie Algebras

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 59-66.

Two Kinds of Solvable Complete Lie Algebras

Dept. of Math.,Changshu College,Changshu,215500,Jiangsu,China

收稿日期:1995-10-05 出版日期:1996-09-30 发布日期:2024-12-30
基金资助:
Supported by National Science Foundation of Jiangau.

Two Kinds of Solvable Complete Lie Algebras

Dept. of Math.,Changshu College,Changshu,215500,Jiangsu,China

Received:1995-10-05 Online:1996-09-30 Published:2024-12-30
Supported by:
Supported by National Science Foundation of Jiangau.

摘要/Abstract

摘要： In this paper,we will give the definition of completable nilpotent Lie algebras,discuss its decomposition and prove that the heisenberg algebras and extensions of abelian quadratic Lie algebras are all completable nilpotent Lie algebras.

关键词: , complete Lie algebra, Heisenberg algebra, abclian reqular quadratic Lie algebra

Abstract: In this paper,we will give the definition of completable nilpotent Lie algebras,discuss its decomposition and prove that the heisenberg algebras and extensions of abelian quadratic Lie algebras are all completable nilpotent Lie algebras.

Key words: , complete Lie algebra, Heisenberg algebra, abclian reqular quadratic Lie algebra

中图分类号:

O152.5

朱林生. Two Kinds of Solvable Complete Lie Algebras[J]. 数学季刊, 1996, 11(3): 59-66.

Zhu Linsheng. Two Kinds of Solvable Complete Lie Algebras[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 59-66.

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Two Kinds of Solvable Complete Lie Algebras

Two Kinds of Solvable Complete Lie Algebras

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