# 新莆京app官网下载8883登录-welcome

Cohomologies and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras

2022年05月10日 10:00-11:15  腾讯会议: 821-162-606

*主持人：周国栋 教授

*讲座内容简介：
In this talk, we establish the cohomology of the relative Rota-Baxter operators on Lie-Yamaguti algebras using the Yamaguti cohomology. Then we use this type of cohomology to characterize the deformations of the relative Rota-Baxter operators on Lie-Yamaguti algebras. We show that if two linear or formal deformations of a relative Rota-Baxter operator are equivalent, then their infinitesimals are in the same cohomological classes in the first cohomology group. Moreover, an order $n$ deformation of a relative Rota-Baxter operator can be extended to an order $n+1$ deformation if and only if the obstruction class in the second cohomology group is trivial.

*主讲人简介：