Quantum Field Theory/Transformational properties of fields

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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]