| Hom-李三系上的乘积结构和复结构 |
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| 引用本文： | 陈良云,侯莹,马瑶.Hom-李三系上的乘积结构和复结构[J].山东大学学报(理学版),2021,56(10):48-60. |
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| 作者姓名： | 陈良云 侯莹 马瑶 |
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| 作者单位： | 东北师范大学数学与统计学院, 吉林 长春 130024 |
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| 基金项目： | 国家自然科学基金资助项目(11771069,12071405,11801066) |
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| 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。
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| 关 键 词： | Hom-李三系 Hom-Nijenhuis算子 积结构 复结构 复积结构 |
Product and complex structures on Hom-Lie triple systems |
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| CHEN Liang-yun,HOU Ying,MA Yao.Product and complex structures on Hom-Lie triple systems[J].Journal of Shandong University,2021,56(10):48-60. |
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| Authors: | CHEN Liang-yun HOU Ying MA Yao |
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| Institution: | School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, China |
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| Abstract: | 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. |
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| Keywords: | Hom-Lie triple system Hom-Nijenhuis operator product structure complex structure complex product structure |
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