汇报标题 (Title)：Novikov bialgebras and infinite-dimensional Lie bialgebras（Novikov双代数与无限维李双代数）
汇报人 (Speaker)： 洪燕勇 教授 (荆门师范大学)
汇报功夫 (Time)：2023年11月8日(周三) 8:00
汇报地址 (Place)：校本部D123
约请人(Inviter)：孙建才
主办部门：理学院数学系
汇报提要：In this talk, I will introduce a bialgebra theory for the Novikov algebra, namely the Novikov bialgebra, which is characterized by the fact that its affinization (by a quadratic right Novikov algebra) gives an infinite-dimensional Lie bialgebra. A Novikov bialgebra is also characterized as a Manin triple of Novikov algebras. The notion of Novikov Yang-Baxter equation is introduced, whose skewsymmetric solutions can be used to produce Novikov bialgebras and hence Lie bialgebras. These solutions also give rise to skewsymmetric solutions of the classical Yang-Baxter equation in the infinite-dimensional Lie algebras from the Novikov algebras. This talk is based on joint works with Chengming Bai and Li Guo.
