Hopf Algebras and Tensor Categories
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.
Lecturer
Date
13th September, 2022 ~ 3rd January, 2023
Website
Prerequisite
Graduate level algebra.
Syllabus
1. The structure and action of Hopf algebras;
2. Integral theory;
3. Drinfeld double;
4. Quasi-Hopf algebras;
5. Tensor categories
2. Integral theory;
3. Drinfeld double;
4. Quasi-Hopf algebras;
5. 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.
2. C. Kassel. Quantum Groups. Graduate Texts in Mathematics 155.
3. M. E. Sweedler. Hopf algebras. Mathematics Lecture Note Series, 1969.
Audience
Graduate
Video Public
No
Notes Public
No
Language
Chinese
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.