標題：Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures
報告時間：2024年04月05日(星期五)15:15-15:55
報告地點：人民大街校區數學與統計學院104教室
主講人：Maxim Goncharov
主辦單位：數學與統計學院
報告內容簡介：
In this talk, we introduce the notion of a Rota-Baxter operator of a non-scalar weight on an arbitrary algebra. As a motivation, we show that there is a natural connection between Rota-Baxter operators of this type and structures of quasitriangular Lie bialgebras on a quadratic finite-dimensional Lie algebra. Moreover, we show that some classical results on Lie bialgebra structure on simple finite-dimensional Lie algebras can be obtained from the corresponding results for Rota-Baxter operators.
主講人簡介：
Maxim Goncharov, Ph.D., Senior research fellow in Sobolev Institute of Mathematics, associate Professor at Novosibirsk State University.
