Maps between Deformed and Ordinary Gauge Fields

In this paper, we introduce a map between the q-deformed gauge fields defined on the GL${}_q(N)$-covariant quantum hyperplane and the ordinary gauge fields. Perturbative analysis of the q-deformed QED at the classical level is presented and gauge fixing $\grave{a}$ la BRST is discussed. An other star product defined on the hybrid $(q,h)$% -plane is explicitly constructed .