Lecture videos

lecture 01 (Links to an external site.): motivational speech

lecture 02 (Links to an external site.): group definition and examples

lecture 03 (Links to an external site.): group presentations, cayley diagrams, group actions

lecture 04 (Links to an external site.): counting orbits, definition of group representation

lecture 05 (Links to an external site.): basic facts of representation theory

lecture 06 (Links to an external site.): characters

lecture 07 (Links to an external site.): making a character table, the cube problem

lecture 08 (Links to an external site.): projection onto irreps, the group algebra

lecture 09 (Links to an external site.): fusion rings, what is reality? 

lecture 10 (Links to an external site.): induced reps, reps of S_n, projective reps

lecture 11 (Links to an external site.): 1d SPTs as examples of projective reps; Lie groups and Lie algebras

lecture 12 (Links to an external site.): BCH, Lie algebra basics, SO(n)

lecture 13 (Links to an external site.): Tensor methods for O(n), begin Cartan-Weyl method

lecture 14 (Links to an external site.): SU(3), building an irrep from its highest weight state

lecture 15 (Links to an external site.): Everything from the simple roots, G_2

lecture 16 (Links to an external site.): Classification of simple Lie algebras, the classical groups

lecture 17 (Links to an external site.): Regular subalgebras, spinor reps from majorana modes

lecture 18 (Links to an external site.): Diagrammatic methods (birdtracks) and O(n) for non-integer n

lecture 19 (Links to an external site.): Birdtracks for SU(n); characters and integrals over a group

lecture 20 (Links to an external site.): Unification: a group theory tour through particle physics