%0 Journal Article
%T Hom-Jordan李代数的交换扩张<br>Abelian extensions of Hom-Jordan Lie algebras
%A 李强
%A 马丽丽
%A 王晓燕
%A 吕莉娇&lt
%A br&gt
%A LI Qiang
%A MA Li-li
%A WANG Xiao-yan
%A LYU Li-jiao
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2018.059
%X 摘要： 通过Hom-Jordan李代数T的表示,得到构造Hom-Jordan李代数T?V的充分必要条件。证明了Hom-Jordan李代数的等价交换扩张给出相同的表示。通过交换扩张的截面得到一个2-上圈。<br>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
%K Hom-Jordan李代数
%K 表示
%K 2-上圈
%K 交换扩张
%K &lt
%K br&gt
%K Hom-Jordan Lie algebra
%K representation
%K 2-cocycle
%K abelian extension
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2018.059