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arXiv · hep-th/9409100

The quantum Poincare group from quantum group contraction

Philippe Zaugg
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Abstract

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 Poincaré group is exhibited and shown to be dual to the one of the $κ$--Poincaré Hopf algebra, at least in two dimensions.

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Philippe Zaugg. 1994-09-18. The quantum Poincare group from quantum group contraction. https://doi.org/10.1088/0305-4470%2F28%2F9%2F018

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