| SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS | |
| Alternative Title | Supersymmetric invariance and universal central extensions of lie supertriple systems |
| Zhang Qingcheng1; Wei Zhu1; Chu Yingna1; Zhang Yongping2 | |
| 2014 | |
| Source Publication | ACTA MATHEMATICA SCIENTIA
 |
| ISSN | 0252-9602 |
| Volume | 34Issue:2Pages:313-330 |
| Abstract | 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. |
| Other Abstract | 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. |
| Keyword | TRIPLE-SYSTEMS SUPERALGEBRAS ALGEBRAS Supersymmetric invariant bilinear form Lie supertriple system central extension automorphism derivation |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [NSFC] ; [NSFJL] ; [Fundamental Research Funds for the Central Universities of China] ; [SRFHLJED] |
| CSCD ID | CSCD:5102617 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/142050 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.中山大学 2.中国科学院金属研究所 |
| Recommended Citation 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. |
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