Hom-李三系上的乘积结构和复结构  

Product and complex structures on Hom-Lie triple systems

作　　者：陈良云[1] 侯莹 马瑶[1] CHEN Liang-yun;HOU Ying;MA Yao(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,Jilin,China)

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《山东大学学报（理学版）》2021年第10期48-60,共13页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11771069,12071405,11801066)。

摘　　要：本文主要从代数角度研究Hom-李三系上的两种几何结构,即积结构、复结构。分别给出了积结构和复结构存在时对应的Hom-李三系的分解。同时,也研究了一些特殊的积结构和复结构。最后,在这两种结构间增加一个兼容条件,得到了复积结构。This paper mainly studies two geometric structures on Hom-Lie triple system from the perspective of algebra, named product structure and complex structure. The decomposition of Hom-Lie triple system corresponding to the existence of product structure and complex structure is given respectively. At the same time, some special product structures and complex structures are also studied. Finally, adding a compatibility condition between the two structures in order to obtain the complex product structure.

关 键 词：Hom-李三系 Hom-Nijenhuis算子 积结构 复结构 复积结构 

分 类 号：O152.5[理学—数学]