Braided momentum in the q-Poincaré group
- 1 May 1993
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 34 (5) , 2045-2058
- https://doi.org/10.1063/1.530154
Abstract
The q‐Poincaré 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× SOq(1,3) where B is a braided‐quantum group structure on the q‐Minkowski space of four‐momentum with braided‐coproduct Δ_p=p⊗1+1⊗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.Keywords
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