|
gptkb:SU(2)_algebra
|
gptkb:Levi-Civita_symbol
|
|
gptkb:sl(2,C)
|
[H,E]=2E, [H,F]=-2F, [E,F]=H
|
|
gptkb:unitary_Lie_algebra
|
antisymmetric
|
|
gptkb:sp(2n,_F)
|
depend on symplectic form
|
|
gptkb:sl(3,R)
|
given by commutator of matrices
|
|
gptkb:SU(N)_algebra
|
f^{abc}
|
|
gptkb:su(2)
|
gptkb:Levi-Civita_symbol
|
|
gptkb:SU(3)_algebra
|
f^{abc}
|
|
gptkb:sl(n,_C)
|
[E_{ij}, E_{kl}] = δ_{jk}E_{il} - δ_{il}E_{kj}
|
|
gptkb:Lie_algebra_sl(2,_R)
|
[H,E]=2E, [H,F]=-2F, [E,F]=H
|
|
gptkb:Lie_algebra_so(n+1,_C)
|
antisymmetric
|
|
gptkb:rotation_algebra_so(3)
|
gptkb:Levi-Civita_symbol
|
|
gptkb:Lie_algebra_sl(5)
|
given by commutator of matrices
|
|
gptkb:special_linear_Lie_algebra_over_the_real_numbers
|
given by commutator of matrices
|
|
gptkb:sp(2n,_C)
|
depends on symplectic form
|
|
gptkb:sl(n,_R)
|
dependent on n
|
|
gptkb:su(3)
|
antisymmetric
|
|
gptkb:gl(n,C)
|
matrix commutator
|
|
gptkb:general_linear_Lie_algebra
|
gptkb:Kronecker_delta
|
|
gptkb:sp_{2n}(F)_(Lie_algebra)
|
depend on symplectic form
|