JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (10): 48-60.doi: 10.6040/j.issn.1671-9352.9.2021.008

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Product and complex structures on Hom-Lie triple systems

CHEN Liang-yun, HOU Ying*, MA Yao   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, China
  • Published:2021-09-28

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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.

Key words: Hom-Lie triple system, Hom-Nijenhuis operator, product structure, complex structure, complex product structure

CLC Number: 

  • O152.5
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