Braided momentum in the qPoincaré group
Abstract
The qPoincaré 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× SO_{q}(1,3) where B is a braidedquantum group structure on the qMinkowski space of fourmomentum with braidedcoproduct 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 Rmatrix. The abstract structure of the qLorentz group is also studied.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 May 1993
 DOI:
 10.1063/1.530154
 arXiv:
 arXiv:hepth/9210141
 Bibcode:
 1993JMP....34.2045M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 22 pages, LATEX