N ov 1 99 6 July 1996 , rev . Nov . 1996 LMU

Can one represent quantum group covariant q-commuting “creators, annihilators” Ai , A j as operators acting on standard bosonic/fermionic Fock spaces? We briefly address this general problem and show that the answer is positive (at least) in some simplest cases. Talk presented at the XXI International Colloquium on Group Theoretical Methods in Physics (Group21), 15 20 July 1996, Goslar, Germany. To appear in the proceedings of the Quantum Group volume of Group21, Eds. H.-D. Doebner and V.K. Dobrev. Work supported by the European Community, through the European Commission, Dir. Gen. for Science, Research and Development, providing the TMR grant ERBFMBICT960921.