Year: 2009
Author: Chunyue Wang, Qingcheng Zhang, Zhishang Zhang
Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 385–401
Abstract
In this paper, the definitions and some properties of $n$-Lie superalgebras are presented. Our main aim is to study the decomposition and uniqueness of finite dimensional $n$-Lie superalgebras with trivial center. According to the decomposition of $n$-Lie superalgebras, we obtain the decomposition of inner derivation superalgebras and derivation superalgebras respectively. Furthermore, we discuss some properties about the centroid of $n$-Lie superalgebras, so we can see its application in the decomposition of $n$-Lie superalgebras.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19356
Communications in Mathematical Research , Vol. 25 (2009), Iss. 5 : pp. 385–401
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: $n$-Lie superalgebra decomposition indecomposition derivation centroid.