McKay Correspondence and Coxeter Groups

This lecture covers the McKay correspondence and Coxeter groups, focusing on the setup and finite subgroups of SU(2). The instructor explains the basis vectors and linear functionals, constructing root systems of type A2 and Az. The lecture delves into Lie algebras, diagonal subspaces, and commutators, providing insights into the structure of simple complex Lie algebras. Additionally, the classification of finite subgroups of SU(2) and SO(3) is discussed, emphasizing the odd order property and cyclic subgroups. The lecture concludes with the classification of finite subgroups based on simply laced connected Coxeter graphs.