JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 76-80.doi: 10.6040/j.issn.1671-9352.0.2021.009

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Constitutions and Abelian extensions of δ-Jordan Lie supertriple systems

MA Li-li, DAI Di, LI Qiang   

  1. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang, China
  • Published:2021-08-09

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Abstract: The 3-cocycle is given using the Abelian extension of δ-Jordan Lie supertriple systems. The δ-Jordan Lie supertriple system is constructed by the representation and a 3-cocycle. It is shown that two Abelian extensions of δ-Jordan Lie supertriple systems are equivalent if and only if 3-cocycles are in the same cohomology class.

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

CLC Number: 

  • O152.5
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[2] MA Li-li, LI Qiang. Abelian extensions of δ-Lie color algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(8): 38-42.
[3] LI Qiang, MA Li-li, WANG Xiao-yan, LYU Li-jiao. Abelian extensions of Hom-Jordan Lie algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(12): 4-8.
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