Hom李三系的Nijenhuis算子  

Nijenhuis Operators of Hom Lie Triple Systems

作　　者：马丽丽[1] 王晓燕[1] 吕莉娇[1] MA Li-li;WANG Xiao-yan;LV Li-jiao(School of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院

出　　处：《数学的实践与认识》2018年第13期230-235,共6页Mathematics in Practice and Theory

基　　金：黑龙江省青年科学基金(QC2016008);黑龙江省省属高等学校基本科研业务费科研项目(135209249)

摘　　要：通过Horn李三系的表示和上同调理论，研究了线性映射生成无穷小形变的充分必要条件．给出Hom李三系的Nijenhuis算子的定义，得到Horn李三系的形变，且形变是平凡的．Necessary and sufficient conditions that the linear map generates infinitesimal deformation of Horn Lie triple systems were studied using representations and cohomologies. We defined Nijenhuis operators, and obtained a deformation of Horn Lie triple systems. Furthermore, the deformation is trivial.

关 键 词：Hom李三系 3-Hom上圈 形变 Nijenhuis算子 

分 类 号：O152.5[理学—数学]