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
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