On the representations of GLq(n) using the Heisenberg-Weyl relations

Abstract

Using the representations of the Heisenberg-Weyl relations the authors develop a systematic scheme for constructing finite and infinite dimensional representations of the elements of the quantum groups GLq(n), where the deformation parameter q is a primitive root of unity. Explicit results for the examples GLq(2), GLq(3) and GLq(4) are discussed.