学术报告

题      目：Rota-Baxter type operators and bialgebra theory for pre-Lie  algebras

报  告  人：刘杰锋   副教授  (邀请人：张泽锐)

                                     东北师范大学数学与统计学院

时      间：6月17日  15：00-16：00

腾 讯 会 议：264-526-476 

报告人简介:

       刘杰锋，东北师范大学数学与统计学院副教授，从事Poisson几何和高阶李理论的研究。2016年7月博士毕业于吉林大学，在J. Noncommut. Geom.，J. Symplectic Geom.，J. Algebra，Sci. China Math.等国内外期刊上发表论文三十余篇。

摘      要：

       In this talk, I will introduce three kinds of Rota-Baxter type operators from the viewpoints of bialgebra theory for pre-Lie algebras. The notion of coboundary pre-Lie bialgebra leads to an analogue of the classical Yang-Baxter equation, called an “S-equation”. A symmetric solution of S-equation gives rise to a relative Rota-Baxter operator of zero weight on a pre-Lie algebra. A solution with an invariant nondegenerate skew-symmetric part gives rise to a Rota-Baxter operator of nonzero weight. At last, the construction of quasi-pre-Lie bialgebras gives rise to a twisted relative Rota-Baxter operator of zero weight.

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