报 告 人:李康桥(南京大学博士后)
报告题目:The finite duals of Affine Prime regular Hopf algebras of GK-dimension One
报告时间:2021年04月17日下午16:30-17:20
报告地点:静远楼1508
主办单位:数学与统计学院、科学技术研究院
报告人简介:
李康桥,南京大学博士后、导师为国家优青刘公祥教授,博士毕业于复旦大学,导师是朱胜林教授。主要从事Hopf代数的研究工作。目前,主要研究Hopf代数的等价不变量的研究以及有限生成Hopf代数的性质刻画.
报告摘要:
In this talk, we introduce the finite duals of all the affine prime regular Hopf algebras of GK-dimension one. All these duals are given by generators and relations. In addition, the structures are used for constructions of non-degenerate Hopf pairings. As consequences, 1) we state that an affine prime regular Hopf algebra of GK-dimension one corresponds a quantum group in the sense of Takeuchi; 2) we deny an infinite-dimensional analogous version of the semisimplicity result by Larson and Radford.
邀请人:张孝金,李志伟