ON ONE-DIMENSIONAL LEIBNIZ CENTRAL EXTENSIONS OF A FILIFORM LIE ALGEBRA

被引：21

作者：

Rakhimov, Isamiddin S. ^{[1
,2
]}

Hassan, Munther A. ^{[1
]}

机构：

[1] Univ Putra Malaysia, Inst Math Res INSPEM, Serdang 43400, Selangor Darul, Malaysia

[2] Univ Putra Malaysia, Dept Math, FS, Serdang 43400, Selangor Darul, Malaysia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 84卷 / 02期

关键词：

Lie algebra; filiform Leibniz algebra; isomorphism; invariant;

D O I：

10.1017/S0004972711002371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of orbits, invariant functions (orbit functions) are provided.

引用

页码：205 / 224

页数：20

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