The quantum groups GLq(n) and Weyl-Heisenberg operators

It is shown that for deformation parameters q = 1, the bilinear product relations which define the quantum groups GL_q(n) can be recast as Weyl-Heisenberg relations, provided some invertibility conditions are met. Finite- and infinite-dimensional representations of GL_q(n) are then easily constructed, as shown in a few examples.