  The scope of this review is to give a pedagogical introduction to some new
calculations and methods developed by the author in the context of quantum
groups and their applications. The review is self- contained and serves as a
"first aid kit" before one ventures into the beautiful but bewildering
landscape of Woronowicz's theory. First, we present an up-to-date account of
the methods and definitions used in quantum gauge theories. Then, we highlight
our new results. The present paper is by no means an exhaustive overview of
this swiftly developing subject.
