Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (3): 473-479.

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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

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

CLC Number: 

  • O154.2