数学学科2025系列学术报告之二十二

　　报告题目：On R-matrix presentation of quantum algebra

　　报告人：刘明（江汉大学）

　　时 间：2025年10月24日?15:30-16:30

　　地 点：理学院1号楼1-301

　　摘要：R-matrices are the solutions of the Yang-Baxter equation. The R-matrix

　　realization is an important realization of quantum algebra, which originated from the

　　study of quantum inverse scattering theory. In this talk, we will introduce our recent

　　work on R-matrix realization of quantum algebra: (1) The isomorphism between

　　R-matrix presentation and Drinfeld’s new realization of BCD type Yangians and

　　quantum affine algebras. This is a joint work with Naihuan Jing and Alexander Molev.

　　(2) The parabolic presentation of BCD type Yangian which is a joint work with

　　Zhihua Chang, Naihuan Jing and Haitao Ma.

　　报告人简介：刘明，江汉大学副教授。主要研究方向为量子群与Yangian代数的表示理论。代表性成果发表在 Advances in Mathematics , Communications in Mathematical Physics, Journal of Algebra 等国际知名期刊。主持国家自然科学基金面上项目1项，国家自然科学基金青年基金1项，广东省自然科学基金面上项目1项，参与国家自然科学基金重点项目1项。