报告题目: A note on semisimple Hopf algebras over a field of positive characteristic
报告简介:In this talk, I will consider a semisimple Hopf algebra H over a field of positive characteristic p. Using a certain element of H, a sufficient and necessary condition for $S^2=id$ is given. This element is used to generalize the notations of higher Frobenius-Schur indicators from characteristic 0 case to characteristic p case. Also, this element is used to study the representations of a smash product Hopf algebra. In particular, the Grothendieck algebra of the smash product Hopf algebra is completely described.
报告人:王志华,泰州学院教授,扬州大学与哈瑟尔特大学联合培养博士,南京大学博士后。入选江苏省“青蓝工程”中青年学术带头人培养对象、泰州市十行百星教育之星、泰州市311 人才。长期从事Hopf代数和张量范畴方面的理论研究,发表学术论文40 余篇,2024年在科学出版社出版英文专著1部。
报告时间:2025年5月25日(周日)下午2:00-3:30
报告地点:扬州大学瘦西湖校区数学科学学院617报告厅
联系人:李立斌、于志强
欢迎广大师生参加!