BRAIDED MOMENTUM IN THE Q-POINCARE GROUP

The q-Poincare group of M. Schlieker et al. [Z. Phys. C 53, 79 (1992)] is shown to have the structure of a semidirect product and coproduct B X SO(q)(1,3) where B is a braided-quantum group structure on the q-Minkowski space of four-momentum with braided-coproduct DELTAp = p x 1 + 1 x p. Here the necessary B is not a usual kind of quantum group, but one with braid statistics. Similar braided vectors and covectors V(R'), V* (R') exist for a general R-matrix. The abstract structure of the q-Lorentz group is also studied.