Representation Theory: Finite Subgroups of SU(2)

This lecture covers the elements of representation theory and character theory of finite groups, focusing on the establishment of a correspondence between finite subgroups of SU(2) and certain simply laced graphs of Coxeter type. The instructor explains the standard representation of finite subgroups, irreducible representations, and character theory for finite groups. The lecture also delves into the scalar product in the space of class functions, the basis in the space of class functions, and the McKay graph of a finite subgroup of SU(2).