  Given a Hecke symmetry $R$, one can define a matrix bialgebra $E_R$ and a
matrix Hopf algebra $H_R$, which are called function rings on the matrix
quantum semi-group and matrix quantum groups associated to $R$. We show that
for an even Hecke symmetry, the rational representations of the corresponding
quantum group are absolutely reducible and that the fusion coefficients of
simple representations depend only on the rank of the Hecke symmetry. Further
we compute the quantum rank of simple representations. We also show that the
quantum semi-group is ``Zariski'' dense in the quantum group. Finally we give a
formula for the integral.
