n = 3
The generators of su(3), T, in the defining representation, are:
where λ the Gell-Mann matrices, are the SU(3) analog of the Pauli matrices for SU(2):
Note that they span all traceless Hermitian matrices as required.
These obey the relations
- (or, the same, )
The f are the structure constants, given by:
and all other not related to these by permutation are zero.
The d take the values:
Read more about this topic: Special Unitary Group