DUALITY FOR MULTIPARAMETRIC QUANTUM GL(N)

We show that the Hopf algebra U(uq) dual to the multiparameter matrix quantum group GL(uq)(n) may be realized a la Sudbery, i.e. tangent vec tors at the identity. Furthermore, we give the Cartan-Weyl basis of U( uq) and show that this is consistent with the duality. We show that as a commutation algebra U(uq) congruent-to U(u)(sl(n, C)) X U(u)(Z), wh ere Z is one-dimensional and U(u)(Z) is a central algebra in U(uq). Ho wever, as a co-algebra U(uq) cannot be split in this way and depends o n all parameters.