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.)


MIT Course Number


As Taught In

Spring 2009



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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.

Pavel Etingof. 18.769 Topics in Lie Theory: Tensor Categories, Spring 2009. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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