  Recently Pluhar and Weidenmueller [Ann. Phys. (N.Y.) Vol 297, 344 (2002)]
showed that the eigenvectors of the matrix of second moments of embedded
Gaussian unitary ensemble of random matrices generated by k-body interactions
(EGUE(k)) for m fermions in N single particle states are SU(N) Wigner
coefficients and derived also an expression for the eigenvalues. Going beyond
this work, we will show that the eigenvalues of this matrix are square of a
SU(N) Racah coefficient and thus the matrix of second moments of EGUE(k) is
solved completely by SU(N) Wigner-Racah algebra.
