报告人：白承铭 教授 

                南开大学陈省身数学所

报告题目: Some bialgebra theories on 3-Lie algebras

报告时间：2016年05月18日 上午08:30-09:30

报告地点：海韵行政楼313

学院联系人：谭绍滨教授、王清副教授

摘要: In this talk, I will introduce two types of 3-Lie

bialgebras whose compatibility conditions between the multiplication

and comultiplication are given by local cocycles and double

constructions respectively. The former is introduced to extend the

connection between Lie bialgebras and the classical Yang-Baxter

equation and hence we get a ternary variation of the classical

Yang-Baxter equation, called the 3-Lie classical Yang-Baxter

equation. The latter is introduced to extend to the 3-Lie algebra

context the connection between Lie bialgebras and double

constructions of Lie algebras and their related Manin triples give a

natural construction of pseudo-metric 3-Lie algebras with neutral

 signature. Moreover, the latter can be regarded as a special class

of the former. It is a joint work with Li Guo and Yunhe Sheng.

欢迎广大师生参加！