SU(2) and SU(3) tensors, Young's tableau.
Killing metric, Coset manifold, Representation theory of SU(2) Lie algebra, SU(2) tensors.
Examples of Lie groups continued: SO(m,n), SU(n), Cartan subalgebra, proof of irreducibility of the adjoint representation for simple Lie groups.
Lie algebras from Lie groups. The adjoint representation. Examples of Lie groups: GL(n,K), SO(n).
Fundamental concepts of represenation theory. Groups and quantum mechanics. Lie groups.
Motivation and fundamental concepts of group theory. Examples of groups.