[1]裴凤,周建华.代数的交叉模[J].东南大学学报(自然科学版),2007,37(6):1137-1140.[doi:10.3969/j.issn.1001-0505.2007.06.039]
 Pei Feng,Zhou Jianhua.Crossed modules for Lie color algebras[J].Journal of Southeast University (Natural Science Edition),2007,37(6):1137-1140.[doi:10.3969/j.issn.1001-0505.2007.06.039]
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代数的交叉模()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
37
期数:
2007年第6期
页码:
1137-1140
栏目:
数学、物理学、力学
出版日期:
2007-11-20

文章信息/Info

Title:
Crossed modules for Lie color algebras
作者:
裴凤12 周建华1
1 东南大学理学院, 南京 210096; 2 合肥工业大学管理学院, 合肥 230009
Author(s):
Pei Feng12 Zhou Jianhua1
1 School of Sciences, Southeast University, Nanjing 210096, China
2 School of Management, Hefei University of Technology, Hefei 230009, China
关键词:
Lie color代数 交叉模 上同调 一一对应
Keywords:
Lie color algebras crossed modules cohomology bijection
分类号:
O153.5
DOI:
10.3969/j.issn.1001-0505.2007.06.039
摘要:
在李代数交叉模概念的基础上,提出了Lie color代数交叉模的概念.对给定的Lie color代数L,P以及阶化P-模M,考虑L的所有以M为核P为余核的交叉模,在这些交叉模之间定义了一个等价关系,证明了等价类集CML(P,L; M)与三阶上同调群H3(P,L; M)3的零次齐次部分之间存在一一对应,从而可以利用三维上同调群对Lie color代数的交叉模进行分类.
Abstract:
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)3.

参考文献/References:

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相似文献/References:

[1]裴凤,周建华.Lie color 代数的商代数[J].东南大学学报(自然科学版),2004,34(6):865.[doi:10.3969/j.issn.1001-0505.2004.06.033]
 Pei Feng,Zhou Jianhua.Algebras of quotients of Lie color algebras[J].Journal of Southeast University (Natural Science Edition),2004,34(6):865.[doi:10.3969/j.issn.1001-0505.2004.06.033]

备注/Memo

备注/Memo:
作者简介: 裴凤(1981—),女,硕士,讲师,pf98612@sina.com.
更新日期/Last Update: 2007-11-20