SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS  

作　　者：张庆成 魏竹 褚颖娜 张永平 

机构地区：[1]School of Mathematics and Statistics,Northeast Normal University [2]Department of Mathematics,Shenyang Institute of Chemical Technology

出　　处：《Acta Mathematica Scientia》2014年第2期313-330,共18页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(10871057);NSFJL(20130101068JC);supported by Fundamental Research Funds for the Central Universities of China and SRFHLJED(12521157)

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.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：Supersymmetric invariant bilinear form Lie supertriple system central extension AUTOMORPHISM DERIVATION 

分 类 号：O152.5[理学—数学]