Crossed modules for Lie color algebras

被引：0
|
作者：
Pei, Feng [1 ,2 ]
Zhou, Jianhua [1 ]
机构：
[1] School of Sciences, Southeast University, Nanjing 210096, China
[2] School of Management, Hefei University of Technology, Hefei 230009, China
来源：
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition) | 2007年 / 37卷 / 06期
关键词：
Algebra; -; Color;
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学科分类号：
摘要：
The notion of crossed modules for Lie color algebras is introduced. Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kerneland P cokernel are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML (P, L; M) and the homogeneous components of degree zero of H3 (P, L; M).
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页码：1137 / 1140
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