  We determine the finite-dimensional simple modules for two-parameter quantum
groups corresponding to the general linear and special linear Lie algebras gl_n
and sl_n, and give a complete reducibility result. These quantum groups have a
natural n-dimensional module V. We prove an analogue of Schur-Weyl duality in
this setting: the centralizer algebra of the quantum group action on the k-fold
tensor power of V is a quotient of a Hecke algebra for all n and is isomorphic
to the Hecke algebra in case n\geq k.
