Integrable deformations of nilpotent color Lie superalgebras

被引：4
|
作者：
Khakimdjanov, Yu. [2 ]
Navarro, R. M. [1 ]
机构：
[1] Univ Extremadura, Dpto Matemat, Caceres, Spain
[2] Univ Haute Alsace, Lab Mathemat & Applicat, Mulhouse, France
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2011年 / 61卷 / 10期
关键词：
Color Lie superalgebras; Cohomology; Deformation; Nilpotent; Filiform; INFINITESIMAL DEFORMATIONS; ALGEBRAS; COHOMOLOGY;
D O I：
10.1016/j.geomphys.2011.03.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the infinitesimal deformations of the Z(3)-color Lie superalgebra L(n,m,p). By means of these deformations all filiform Z(3)-color Lie superalgebras can be obtained. In particular, we give a method that will allow us to determine the dimension of the subspaces that are composed by linearly integrable deformations. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1797 / 1808
页数：12
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