SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS

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	SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS
其他题名	Supersymmetric invariance and universal central extensions of lie supertriple systems
	Zhang Qingcheng 1; Wei Zhu 1; Chu Yingna 1; Zhang Yongping 2
	2014
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	34 期号:2 页码:313-330
摘要	In this article, we discuss some properties of a supersymmetric invariant bilinear form on Lie supertriple systems. In particular, a supersymmetric invariant bilinear form on Lie supertriple systems can be extended to its standard imbedding Lie superalgebras. Furthermore, we generalize Garland's theory of universal central extensions for Lie supertriple systems following the classical one for Lie superalgebras. We solve the problems of lifting automorphisms and lifting derivations.
其他摘要	In this article, we discuss some properties of a supersymmetric invariant bilinear form on Lie supertriple systems. In particular, a supersymmetric invariant bilinear form on Lie supertriple systems can be extended to its standard imbedding Lie superalgebras.. Furthermore, we generalize Garland's theory of universal central extensions for Lie supertriple systems following the classical one for Lie superalgebras. We solve the problems of lifting automorphisms and lifting derivations.
关键词	TRIPLE-SYSTEMS SUPERALGEBRAS ALGEBRAS Supersymmetric invariant bilinear form Lie supertriple system central extension automorphism derivation
收录类别	CSCD
语种	英语
资助项目	[NSFC] ; [NSFJL] ; [Fundamental Research Funds for the Central Universities of China] ; [SRFHLJED]
CSCD记录号	CSCD:5102617
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/142050
专题	中国科学院金属研究所
作者单位	1.中山大学 2.中国科学院金属研究所
推荐引用方式 GB/T 7714	Zhang Qingcheng,Wei Zhu,Chu Yingna,et al. SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS[J]. ACTA MATHEMATICA SCIENTIA,2014,34(2):313-330.
APA	Zhang Qingcheng,Wei Zhu,Chu Yingna,&Zhang Yongping.(2014).SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS.ACTA MATHEMATICA SCIENTIA,34(2),313-330.
MLA	Zhang Qingcheng,et al."SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS".ACTA MATHEMATICA SCIENTIA 34.2(2014):313-330.