18.769 | Spring 2009 | Graduate
Topics in Lie Theory: Tensor Categories
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 …
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.
Learning Resource Types
assignment Problem Sets
notes Lecture Notes
Pentagon axiom diagram
The pentagon axiom is commutative for all objects W, X, Y, Z, in C. (Image by MIT OpenCourseWare.)