Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras

被引：42
|
作者：
Omirov, B. A. [1 ]
机构：
[1] Uzbek Acad Sci, Inst Math, Tashkent 700143, Uzbekistan
来源：
JOURNAL OF ALGEBRA | 2006年 / 302卷 / 02期
关键词：
Cartan subalgebra; regular element; Lie algebra; Leibniz algebra;
D O I：
10.1016/j.jalgebra.2006.01.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work the properties of Cartan subalgebras and their connection with regular elements in finite-dimensional Lie algebras are extended to the case of Leibniz algebras. It is shown that Cartan subalgebras and regular elements of a Leibniz algebra correspond to Cartan subalgebras and regular elements of a Lie algebra by a natural homomorphism. Conjugacy of Cartan subalgebras of Leibniz algebras is shown. (c) 2006 Elsevier Inc. All rights reserved.
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页码：887 / 896
页数：10
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