吉林大学学报(理学版) ›› 2024, Vol. 62 ›› Issue (3): 473-479.

• •    下一篇

罗巴李代数同态的形变理论

张静茹, 杜磊, 赵志兵   

  1. 安徽大学 数学科学学院, 合肥 230601
  • 收稿日期:2023-11-02 出版日期:2024-05-26 发布日期:2024-05-26
  • 通讯作者: 杜磊 E-mail:20060@ahu.edu.cn

Deformation Theory of Rota-Baxter Lie Algebra Homomorphisms

ZHANG Jingru, DU Lei, ZHAO Zhibing   

  1. School of Mathematical Sciences, Anhui University, Hefei 230601, China
  • Received:2023-11-02 Online:2024-05-26 Published:2024-05-26

摘要: 通过构造罗巴李代数同态的上同调复形, 讨论罗巴李代数同态的形式形变, 并证明当形变复形的二阶上同调群为0时, 罗巴李代数同态是刚性的.

关键词: 罗巴李代数, 同态, 上同调, 形变

Abstract: By constructing the cohomologies complexes of Rota-Baxter Lie algebra homomorphisms, we discuss the formal deformation of Rota-Baxter Lie algebra homomorphisms and prove that Rota-Baxter Lie algebra homomorphism is rigid when the 2th-cohomology group of the deformation complex is zero.

Key words: Rota-Baxter Lie algebra, homomorphism, cohomology, deformation

中图分类号: 

  • O154.2