  Several Clifford algebras that are covariant under the action of a Lie
algebra $g$ can be deformed in a way consistent with the deformation of $Ug$
into a quantum group (or into a triangular Hopf algebra) $U_qg$, i.e. so as to
remain covariant under the action of $U_qg$. In this report, after recalling
these facts, we review our results regarding the formal realization of the
elements of such ``q-deformed'' Clifford algebras as ``functions''
(polynomials) in the generators of the undeformed ones; in particular, the
intruiging interplay between the original and the q-deformed symmetry. Finally,
we briefly illustrate their dramatic consequences on the representation
theories of the original and of the q-deformed Clifford algebra, and mention
how these results could turn out to be useful in quantum physics.
