关于李三代数的幂零性

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 423-429.

关于李三代数的幂零性

Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China; Graduate School of the Chinese Academy of Sciences, Beijing 100039, China

收稿日期:2005-04-15 出版日期:2005-12-30 发布日期:2024-01-08
作者简介:WANG Gui-dong(1978-),male,native of Zibo,Shandong,Ph.D.,engages in mathematical physics.
基金资助:
Supported by NKBRPC(2004CB31800)； Supported by NNSFC(10375087)；

The Nilpotency of Lie Triple Algebras

Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China; Graduate School of the Chinese Academy of Sciences, Beijing 100039, China

Received:2005-04-15 Online:2005-12-30 Published:2024-01-08
About author:WANG Gui-dong(1978-),male,native of Zibo,Shandong,Ph.D.,engages in mathematical physics.
Supported by:
Supported by NKBRPC(2004CB31800)； Supported by NNSFC(10375087)；

摘要/Abstract

摘要： In this paper, we mainly concerned about the nilpotence of Lie triple algebras. We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triple algebra is nilpotent, then its standard enveloping Lie algebra is nilpotent.

关键词: Lie , triple , algebra;solvability;nilpotence

Abstract: In this paper, we mainly concerned about the nilpotence of Lie triple algebras. We give the definition of nilpotence of the Lie triple algebra and obtained that if Lie triple algebra is nilpotent, then its standard enveloping Lie algebra is nilpotent.

Key words: Lie , triple , algebra;solvability;nilpotence

中图分类号:

O152.5

王贵栋. 关于李三代数的幂零性[J]. 数学季刊, 2005, 20(4): 423-429.

WANG Gui-dong. The Nilpotency of Lie Triple Algebras[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 423-429.

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