The Decomposition and uniqueness of n-Lie Superalgebras |
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| Authors: | WANG CHUN-YUE ZHANG QING-CHENG ZHANG ZHI-SHANG Liu Jian-ya |
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| Institution: | Wang Chun-yue1,Zhang Qing-cheng2 and Zhang Zhi-shang1 (1.Basic Science Department,Jilin Teachers Institute of Engineering and Technology,Changchun,130052) (2.School of Mathematics and Statistics,Northeast Normal University,130024) |
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| Abstract: | In this paper,the definitions and some properties of n-Lie superalge- bras are presented.Our main aim is to study the decomposition and uniqueness of finite dimensional n-Lie superalgebras with trivial center.Accoding to the decomposition of n-Lie superalgebras,we obtain the decomposition of inner derivation superalgebras and derivation superalgebras respectively.Further- more,we discuss some properties about the centroid of n-Lie superalgebras,so we can see its application in the decomposition of n-Lie sup... |
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| Keywords: | n-Lie superalgebra decomposition indecomposition derivation cen- troid |
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