Relativity principle and the group of coordinate transformations. The group of Lorentz transformations.[edit | edit source]
Lie groups and Lie algebras. Lie algebra of the Rotation Group. Lie algebra of the Lorentz Group.[edit | edit source]
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 | edit source]
Irreducible representations of the Lorentz group. Direct product of two irreducible representations.[edit | edit source]
Parity transformation. Bilinear forms of bispinors. Dirac matrices.[edit | edit source]
