Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras

被引：1
|
作者：
Zhang, Qingcheng [1 ]
Wang, Chunyue [2 ]
Wei, Zhu [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Jilin Engn Normal Univ, Sch Appl Sci, Changchun 130052, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
ALGEBRAS;
D O I：
10.1155/2015/354341
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Hom-Poisson superalgebras can be considered as a deformation of Poisson superalgebras. We prove that Hom-Poisson superalgebras are closed under tensor products. Moreover, we show that Hom-Poisson superalgebras can be described using only the twisting map and one binary operation. Finally, all algebra endomorphisms on 2-dimensional complex Poisson superalgebras are computed, and their associated Hom-Poisson superalgebras are described explicitly.
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页数：11
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