Topics in Lie Theory: Tensor Categories

Pentagon axiom diagram

The pentagon axiom is commutative for all objects W, X, Y, Z, in C. (Image by MIT OpenCourseWare.)

Instructor(s)

MIT Course Number

18.769

As Taught In

Spring 2009

Level

Graduate

Cite This Course

Course Features

Course Description

This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other subjects (with a focus on representation-theoretic applications). In particular, we will discuss categorifications of such notions from ring theory as: module, morphism of modules, Morita equivalence of rings, commutative ring, the center of a ring, the centralizer of a subring, the double centralizer property, graded ring, etc.

Etingof, Pavel. 18.769 Topics in Lie Theory: Tensor Categories, Spring 2009. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-769-topics-in-lie-theory-tensor-categories-spring-2009 (Accessed). License: Creative Commons BY-NC-SA


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