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arXiv · hep-th/9210141

Braided Momentum Structure of the q-Poincare Group

S. Majid
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Abstract

The $q$-Poincaré group of \cite{SWW:inh} is shown to have the structure of a semidirect product and coproduct $B\cocross \widetilde{SO_q(1,3)}$ where $B$ is a braided-quantum group structure on the $q$-Minkowski space of 4-momentum with braided-coproduct $\undΔ\vecp=\vecp\tens 1+1\tens \vecp$. 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.

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S. Majid. 1992-10-27. Braided Momentum Structure of the q-Poincare Group. https://doi.org/10.1063/1.530154

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