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.

引用

页码：887 / 896

页数：10

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