JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 1-5.doi: 10.6040/j.issn.1671-9352.0.2021.684

   

On Abelian extensions of Hom-δ-Jordan Lie triple systems

MA Li-li, WU Di, LI Qiang, XU Jing   

  1. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang, China
  • Published:2022-10-06

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Abstract: Cohomology theory of Hom-δ-Jordan Lie triple systems is introduced. The 3-cocycle is obtained by the section of Hom-δ-Jordan Lie triple systems. The structure of a Hom-δ-Jordan Lie triple system is given using representations and 3-cocycles. Sufficient and necessary condition for the equivalence of Abelian extensions of Hom-δ-Jordan Lie triple systems is shown.

Key words: Hom-δ-Jordan Lie triple system, 3-cocycle, Abelian extension

CLC Number: 

  • O152.5
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