Characteristically nilpotent Lie algebras of type g1 x g2

被引：3
|
作者：
Bermúdez, JMA [1 ]
Campoamor, R [1 ]
机构：
[1] Univ Complutense Madrid, Fac CC Matemat, Dept Geometria & Topol, Madrid 28040, Spain
来源：
FORUM MATHEMATICUM | 2003年 / 15卷 / 02期
关键词：
D O I：
10.1515/form.2003.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the product by generators of complex nilpotent Lie algebras, which can be obtained as a central extension of the direct sum of Lie algebras. We prove that for algebras satisfying some condition relative to its generators, the product by generators preserves the characteristic nilpotence.
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页码：299 / 307
页数：9
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