  There are numerous relations among the generators in the defining and adjoint
representations of SU(N). These include Casimir operators, formulae for traces
of products of generators, etc. Due to the existence of the completely
symmetric tensor $d_{abc}$ that arises in the study of the SU(N) Lie algebra,
one can also consider relations that involve the adjoint representation matrix,
$(D^a)_{bc}=d_{abc}$. In this review, we summarize many useful relations
satisfied by the defining and adjoint representation matrices of SU(N). A few
relations special to the case of N=3 are highlighted.
