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Sino-Russian Mathematics Center-JLU Colloquium(2021-004)——Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras

发表于: 2021-11-01   点击: 

报告题目:Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras

报 告 人:Maxim Goncharov (Sobolev Institute of Mathematics,Novosibirsk State University)

报告时间:2021年11月5日 15:00-17:00

报告地点:Zoom会议 ID: 862 062 0549,会议密码: 2021

会议网址:ttps://us02web.zoom.us/j/8620620549?pwd=NUhCMWpuTG9Od1RMNjhEdkdwTzlsUT09


报告摘要:Given a quadratic Lie algebra, it is well-known that skew-symmetric solutions of the classical Yang-Baxter equation are in one-to-one correspondence with skew-symmetric Rota-Baxter operators of weight zero. In this talk, we will study connections between Rota-Baxter operators of non-zero weight and non-skew-symmetric solutions of the classical Yang-Baxter equation on finite-dimensional quadratic Lie algebras. Particular attention will be given to the case of simple finite-dimensional Lie algebras.


报告人简介:Maxim Goncharov, Ph.D., Senior research fellow in Sobolev Institute of Mathematics, Associate Professor at Novosibirsk State University.