Lie group

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Contents 1 Representation theory 2 Manifold 3 Classical groups 4 Other physically interesting groups

Representation theory

• Direct product
• Symmetry classes
• Young tableau
• Reducing direct products of irreducible representations

Manifold

• Haar measure

Classical groups

• O(N)
• SO(2)
• SO(3)
• SO(3,1) (Lorentz group)
• Sp(2n,F)
• Sp(n)
• SL(N,C)

Other physically interesting groups

• SU(2)
• SL(2,C)
• SU(3)
• SU(1,1)
• Lorentz group
• Poincaré group
• Conformal group