Acta mathematica scientia, Series B >
SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS
Received date: 2011-11-22
Revised date: 2013-06-18
Online published: 2014-03-20
Supported by
The first author is supported by the NSFC (10871057), and NSFJL (20130101068JC). The second author is supported by Fundamental Research Funds for the Central Universities of China and SRFHLJED (12521157).
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.
ZHANG Qing-Cheng , WEI Zhu , CHU Ying-Na , ZHANG Yong-Ping . SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 313 -330 . DOI: 10.1016/S0252-9602(14)60007-2
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