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.
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页码：205 / 224
页数：20
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