»ã±¨±êÌâ (Title)£ºNovikov bialgebras and infinite-dimensional Lie bialgebras£¨NovikovË«´úÊýÓëÎÞÏÞάÀîË«´úÊý£©

»ã±¨ÈË (Speaker)£º ºéÑàÓ ½ÌÊÚ (º¼ÖÝʦ·¶´óѧ)

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ8ÈÕ(ÖÜÈý) 8:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿D123

Ô¼ÇëÈË(Inviter)£ºËｨ²Å

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»ã±¨ÌáÒª£ºIn 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.