Post-Lie algebra structures on Lie algebras related to Witt algebra and applications
报告人：唐孝敏
报告地点：腾讯会议ID:331 155 314
报告时间：2022年05月19日星期四9:10-9:50
邀请人：刘杰锋
报告摘要：
In this talk, we introduce the post-Lie algebra structures on some Lie algebras and their applications. Firstly, we characterize the graded post-Lie algebra structures and a class of shifting post-Lie algebra structures on the Witt algebra. And then, we study the graded post-Lie algebra structures on Lie algebras related to Witt algebras, such as the Schrödinger-Virasoro, the Heisengberg-Virasoro algebra and the W-algebra W(2,2). As applications, the Rota-Baxter operators of weight 1, Yang-Baxter equations on these algebras are studied.
主讲人简介：
唐孝敏, 黑龙江大学数学科学学院院长，教授、博士生导师，黑龙江省数学会副理事长。主要研究李理论及相关方向，主持及参加国家自然科学基金、黑龙江省自然科学基金、黑龙江省教育厅项目等各类科研项目10余项, 在《Math. Nachr.》、《Taiwanese J. Math》、《Linear Algebra Appl.》、《Linear Multilinear Algebra》等SCI收录期刊发表学术论文30多篇，并出版专著、教材2部。
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