Relativity principle and the group of coordinate transformations. The group of Lorentz transformations.edit
Lie groups and Lie algebras. Lie algebra of the Rotation Group. Lie algebra of the Lorentz Group.edit
Group Representations. Irreducible representations of the rotation group. Direct product of two irreducible representations. Reduction of the direct product into a direct sum -- Clebsch-Gordan theorem.edit
Irreducible representations of the Lorentz group. Direct product of two irreducible representations.edit
Parity transformation. Bilinear forms of bispinors. Dirac matrices.edit