报告题目：Rota-Baxter bisystems and mixed bialgebras
报 告 人：Abdenacer Makhlouf（Université de Haute Alsace）
报告地点：ZOOM ID：862 062 0549，Code：2022
报告摘要：In this talk, we deal with a generalization of the concept of Rota-Baxter operators defined by T. Brzezi´nski and called Rota-Baxter systems which appeared in [J. Algebra 460(2016):1- 25]. We provide a dual version and then consider a generalization to bialgebras, we introduce the notion of Rota-Baxter bisystem and construct various examples. On the other hand, we introduce a new type of bialgebras (named mixed bialgebras) which are consisting of an asso ciative algebra and a coassociative coalgebra satisfying the compatible condition determined by two coderivations. We investigate coquasitriangular mixed bialgebras and the particular case of coquasitriangular infinitesimal bialgebras, where we give the double construction. This is a joint work with Tianshui Ma and Sergei Silvestrov.
报告人简介：Abdenacer Makhlouf is a Professor and the head of Mathematics Department at University of Haute Alsace, Mulhouse France. His research covers structure, representation theory, deformation theory and cohomology of various types of algebras, including Nonassociative algebras, Hopf algebras and n-ary algebras.