Spring 2023

Tensor categories in representation theory

Start Wednesday, April 5
Instructors Prof. Dr. Catharina Stroppel and Dr. Johannes Flake
Lectures Wednesdays and Fridays, 10–12 am, R1.008, Endenicher Allee 60
References

• Chari–Pressley: A Guide to Quantum Groups
• Etingof–Gelaki–Nikshych–Ostrik: Tensor Categories
• Kassel: Quantum Groups
• Stroppel: Representation Theory I & II (lecture notes)

Prerequisites

• Algebra I & II
• good theoretical and practical knowledge of representation theory
• basic knowledge of category theory

Course content
The goal of this course is the study of monoidal and braided monoidal categories from a representation-theoretic perspective. After introducing basic notions (additive and abelian categories, tensor categories, Hopf algebras), we explain the role of Tannakian reconstruction in the context of representation theory, and Deligne's theorem on tensor categories. Applications using Deligne's interpolation categories will be given.