The quantum Poincare group from quantum group contraction

Details The quantum Poincare group from quantum group contraction The quantum Poincare group from quantum group contraction

1994-09-18

arxiv.org/abs/hep-th/9409100v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, mit-2353, harvmac

Scientific paper

10.1088/0305-4470/28/9/018

We propose a contraction of the de Sitter quantum group leading to the quantum Poincare group in any dimensions. The method relies on the coaction of the de Sitter quantum group on a non--commutative space, and the deformation parameter $q$ is sent to one. The bicrossproduct structure of the quantum Poincar\'e group is exhibited and shown to be dual to the one of the $\kappa$--Poincar\'e Hopf algebra, at least in two dimensions.

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