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Rota-Baxter cosystems and coquasitriangular mixed bialgebras
澳门新葡8455最新网站:2019年12月16日 15:09 点击数:

报告人:马天水

报告地点:澳门新葡8455最新网站104室

报告澳门新葡8455最新网站:2019年12月19日星期四09:15-10:00

邀请人:陈良云

报告摘要:

In this talk, we present a dual version of T. Brzezi\'{n}ski's results about Rota-Baxter systems which appeared in [J. Algebra 460(2016):1-25]. Then as a generalization to bialgebras, we introduce the notion of Rota-Baxter bisystem and construct various examples of Rota-Baxter bialgebras and bisystems in dimensions 2, 3 and 4. On the other hand, we introduce a new type of bialgebras (named mixed bialgebras) which are consisting of an associative 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. Also, we show in some cases that Rota-Baxter cosystems can be obtained from a coquasitriangular mixed bialgebras. This is a joint work with A. Makhlouf and S. Silvestrov.

主讲人概况:

马天水,东南大学理学博士,现为河南师范大学数学新葡京最新官网副教授、硕士研究生导师。主要从事Hopf代数理论的相关研究,已在SCI收录杂志发表或录用论文30余篇。主持或参与完成国家自然科学基金3项,欧盟FUSION 项目1项,省部级项目多项。曾获得河南省优秀硕士毕业论文引导教师(2017 年、2018 年)、河南省高等学校骨干教师等荣誉称号。

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