Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems

被引：1
|
作者：
Li, Qiang [1 ]
Ma, Lili [1 ]
机构：
[1] Qiqihar Univ, Sch Sci, Qiqihar 161006, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 04期
关键词：
Hom-delta-Jordan Lie supertriple system; cohomology; deformation; Nijenhuis operator; abelian extension; 1-PARAMETER FORMAL DEFORMATIONS; ALGEBRAS; SUPERALGEBRAS; COHOMOLOGY;
D O I：
10.3390/math11040871
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Representations and cohomologies of Hom-delta-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-delta-Jordan Lie supertriple systems are discussed. We obtain the infinitesimal deformation generated by virtue of a Nijenhuis operator. It is obtained that the sufficient and necessary condition for the equivalence of abelian extensions of Hom-delta-Jordan Lie supertriple systems.
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页数：15
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