SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS

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	SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS
	Zhang Qingcheng 1; Wei Zhu 1; Chu Yingna 1; Zhang Yongping 2
刊名	ACTA MATHEMATICA SCIENTIA
	2014
卷号	34 期号:2 页码:313-330
关键词	TRIPLE-SYSTEMS SUPERALGEBRAS ALGEBRAS Supersymmetric invariant bilinear form Lie supertriple system central extension automorphism derivation
ISSN号	0252-9602
其他题名	Supersymmetric invariance and universal central extensions of lie supertriple systems
英文摘要	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.
资助项目	[NSFC] ; [NSFJL] ; [Fundamental Research Funds for the Central Universities of China] ; [SRFHLJED]
语种	英语
CSCD记录号	CSCD:5102617
内容类型	期刊论文
源URL	[http://ir.imr.ac.cn/handle/321006/142049]
专题	金属研究所_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.