What are the elements of the antisymmetric representation of $SU(4)$ in a matrix form?

795 Views Asked by At

I would like to know the $4\times 4$ matrices that correspond to the antisymmetric representation of $SU(4)$. I know that there should be a relation with a $6$ representation of $SO(6)$. Is there a way to obtain a matrix representation of these antisymmetric rep of $SU(4)$. Where do I start?