Prof. Pavel Etingof
The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.
Etingof, Pavel. 18.712 Introduction to Representation Theory, Fall 2010. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-712-introduction-to-representation-theory-fall-2010 (Accessed). License: Creative Commons BY-NC-SA