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arxiv: hep-th/9409100 · v1 · submitted 1994-09-18 · ✦ hep-th

The quantum Poincare group from quantum group contraction

classification ✦ hep-th
keywords groupquantumcontractiondimensionspoincarpoincaresitteralgebra
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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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