JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (12): 4-8.doi: 10.6040/j.issn.1671-9352.0.2018.059

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Abelian extensions of Hom-Jordan Lie algebras

LI Qiang, MA Li-li, WANG Xiao-yan, LYU Li-jiao   

  1. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang, China
  • Online:2018-12-20 Published:2018-12-18

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Abstract: Using representations of Hom-Jordan Lie algebras T, the sufficient and necessary conditions of constructing Hom-Jordan Lie algebra T⊕V are obtained. The equivalent abelian extensions of Hom-Jordan Lie algebras giving the same representation is proved. A 2-cocycle by a section of the abelian extension is obtained.

Key words: Hom-Jordan Lie algebra, representation, 2-cocycle, abelian extension

CLC Number: 

  • O152.55
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