Central Extensions and Nijenhuis Operators of Hom-δ-Jordan Lie Triple Systems

被引：3
|
作者：
Li, Qiang [1 ,2 ]
Ma, Lili [2 ]
机构：
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
[2] Qiqihar Univ, Sch Sci, Qiqihar 161006, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2022年 / 2022卷
关键词：
DEFORMATIONS; COHOMOLOGY; ALGEBRAS;
D O I：
10.1155/2022/2706774
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the equivalence of central extensions and H-alpha,alpha V(3)(T, V) is proven in the study in Hom-delta-Jordan Lie triple systems. The concepts of Nijenhuis operators of Hom-delta-Jordan Lie triple systems are given. Moreover, a trivial deformation is got.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems
    Li, Qiang
    Ma, Lili
    [J]. MATHEMATICS, 2023, 11 (04)
  • [2] Cohomology and its applications on multiplicative Hom-δ-Jordan B-Jordan Lie color triple systems
    Ma, Lili
    Li, Qiang
    [J]. AIMS MATHEMATICS, 2024, 9 (09): : 25936 - 25955
  • [3] Central extensions and deformations of Hom-Lie triple systems
    Ma, Yao
    Chen, Liangyun
    Lin, Jie
    [J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (03) : 1212 - 1230
  • [4] Nijenhuis operators on Hom-Lie algebras
    Das, Apurba
    Sen, Sourav
    [J]. COMMUNICATIONS IN ALGEBRA, 2022, 50 (03) : 1038 - 1054
  • [5] 1-parameter formal deformations, Nijenhuis operators and abelian extensions of ?-Lie color triple systems
    Li, Qiang
    Ma, Lili
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2023, 328
  • [6] Cohomology and 1-Parameter Formal Deformations of Hom-δ-Lie Triple Systems
    Chen, Liangyun
    Yi, Yang
    Chen, Ming
    Tang, Yuling
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2019, 29 (04)
  • [7] Generalized Reynolds Operators on Hom-Lie Triple Systems
    Xiao, Yunpeng
    Teng, Wen
    Long, Fengshan
    [J]. SYMMETRY-BASEL, 2024, 16 (03):
  • [8] REPRESENTATIONS AND T*-EXTENSIONS OF HOM-JORDAN-LIE ALGEBRAS
    Zhao, Jun
    Chen, Liangyun
    Ma, Lili
    [J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (07) : 2786 - 2812
  • [9] Central Extensions and Deformations of Lie Triple Systems with a Derivation
    Shuangjian GUO
    [J]. Journal of Mathematical Research with Applications, 2022, 42 (02) : 189 - 198
  • [10] Relative Rota-Baxter operators on Hom-Lie triple systems
    Li, Yizheng
    Wang, Dingguo
    [J]. COMMUNICATIONS IN ALGEBRA, 2024, 52 (03) : 1163 - 1178
12345