Record: No

Level: Graduate

Language: Chinese

Prerequisite

Graduate level algebra.

Abstract

In this course, we give a brief introduction to Hopf algebras and their representation categories. We will then generalize such categories and study the abstract theory of tensor categories.

Reference

1. S. Montgomery. Hopf algebras and their actions on rings. CBMS Regional Conference Series in Mathematics 82.

2. C. Kassel. Quantum Groups. Graduate Texts in Mathematics 155.

3. M. E. Sweedler. Hopf algebras. Mathematics Lecture Note Series, 1969.

Syllabus

1. The structure and action of Hopf algebras;

2. Integral theory;

3. Drinfeld double;

4. Quasi-Hopf algebras;

5. Tensor categories

Lecturer Intro

Yilong Wang graduated from The Ohio State University in 2018. After working in Louisiana State University as a postdoc researcher, he joined BIMSA as an assistant research fellow in 2021. His research interests include modular tensor categories and topological quantum field theories.

Lecturer Email: wyl@bimsa.cn

TA: Dr. Kun Zhou, kzhou@bimsa.cn