University of Reddit Course: Introduction to Group Representations
Here is the file list for Introduction to Group Representations (Summer 2012):
June 11, 2012: Video - RT1. Representation Theory Basics
June 18, 2012: Video - RT2. Unitary Representations
June 25, 2012: Video - RT3. Equivalence and Examples
July 2, 2012: Video - RT4.1. Constructions from Linear Algebra
July 2, 2012: Video - RT4.1.1. Complex Conjugate Representations
July 9, 2012: Video - RT4.2. Schur's Lemma
July 9, 2012: Video - RT5. Mostly Exercises
July 16, 2012: Video - RT6. Representations on Function Spaces
July 23, 2012: Video - RT7.1. Finite Abelian Groups: Character Orthogonality
July 30, 2012: Video - RT7.2. Finite Abelian Groups: Fourier Analysis
July 30, 2012: Video - RT7.3. Finite Abelian Groups: Convolution
August 6, 2012: Video - RT8.1. Finite Groups 1: Schur Orthogonality Relations
August 6, 2012: Video - RT8.2. Finite Groups 2: Classification of Irreducibles
August 13, 2012: Video - RT8.3. Finite Groups 3: Projection to Irreducibles
August 21, 2012: Video - RT9. Basic Tensor Analysis
August 30, 2012: Video - RT9. Application: Normal Modes (final lecture)
Here are background/review videos:
June 11, 2012: Video - GT15. Group Actions
June 11, 2012: Video - Cayley-Hamilton Theorem for 2x2 Matrices
June 11, 2012: Video - Cayley-Hamilton Theorem - General Case
June 11, 2012: Video - Overview of Minimal Polynomials
June 11, 2012: Video - Minimal Polynomials and Diagonal Form
June 11, 2012: Video - Simultaneous Diagonalization
June 18, 2012: Video - Example of Fourier's Trick
June 18, 2012: Video - Example of Orthogonal Projection
June 18, 2012: Video - Spectral Theorem (2x2 Case)
June 18, 2012: Video - Spectral Theorem (General Case)
June 25, 2012: Video - GT7. The Commutator Subgroup
July 23, 2012: Video - GT18.1. Conjugacy Classes for Dihedral Groups