Cohomologies and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras
发布人: 曹思圆   发布时间: 2022-05-09   浏览次数: 10

*报告题目:Cohomologies and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras

*时间:20220510日 1000-1115

*地点:腾讯会议: 821-162-606

*主讲人:赵嘉 讲师

*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:

赵嘉,202112月获得吉林大学理学博士学位,在读期间师从生云鹤教授。20223月至今,任职南通大学理学院讲师职位。主要从事Lie-Yamaguti代数及其相对罗巴算子的形变和上同调的研究。