Supersymmetric invariance and universal central extensions of lie supertriple systems |
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| Authors: | Qingcheng ZHANG Zhu WEI Yingna CHU Yongping ZHANG |
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| Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;2. Department of Mathematics, Shenyang Institute of Chemical Technology, Shenyang 110142, China |
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| 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. |
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| Keywords: | Supersymmetric invariant bilinear form Lie supertriple system central extension automorphism derivation |
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