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gptkb:orthogonal_Lie_algebras
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antisymmetric
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gptkb:sl(2,R)
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[H,E]=2E, [H,F]=-2F, [E,F]=H
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gptkb:Lie_algebra_of_type_G_2
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defined by G_2 root system
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gptkb:Lorentz_algebra
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antisymmetric
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gptkb:sl(2,_C)
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[H,E]=2E, [H,F]=-2F, [E,F]=H
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gptkb:simple_Lie_algebra_of_type_A_n
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determined by commutator
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gptkb:special_linear_Lie_algebra_sl(9)
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antisymmetric
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gptkb:Lie_algebra_sp(2n)
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antisymmetric
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gptkb:simple_Lie_algebra_B_n
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antisymmetric
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gptkb:Lie_algebra_su(3)
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f^{abc}
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gptkb:unitary_algebra_u(n)
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related to commutator of matrices
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gptkb:Lie_algebra_sl(2,C)
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standard for A1 type
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gptkb:Lie_algebra_su(2)
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gptkb:Levi-Civita_symbol
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