Topics in Lie Theory: Tensor Categories

Overview

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.

Skills you'll practise

Mathematics Science & Math

Advantages and disadvantages

Advantages

The real MIT course: lecture notes, problem sets and exams, often with solutions.
Free, with no sign-up or deadlines.
Taught by Massachusetts Institute of Technology, one of the strongest names in its field.
Completely free.
Self-paced: start any time.

Disadvantages

No certificate, no grading and no forum: you need to be self-driven.
Many courses are recordings of past semesters and some have notes only, no videos.
No certificate.

Some points apply to every course of this kind; see how we rank.

Free to learn

Free: All the materials are free to use, with no sign-up. MIT OpenCourseWare gives no certificate.

Taught by

Prof. Pavel Etingof

Massachusetts Institute of Technology is in Tier 1: world-leading universities and India's top institutes of our institution ranking (98/100). OpenCourseWare is the gold standard for free university material.