On Bose-Fermi Statistics, Quantum Group Symmetry, and Second Quantization

Abstract

Can one represent quantum group covariant q-commuting "creators, annihilators" $A^+_i,A^j$ 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.Comment: 9 pages, latex file, no figures. Talk presented at Group2