English

The quantum Poincare group from quantum group contraction

High Energy Physics - Theory 2009-10-28 v1

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 qq 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 κ\kappa--Poincar\'e Hopf algebra, at least in two dimensions.

Keywords

Cite

@article{arxiv.hep-th/9409100,
  title  = {The quantum Poincare group from quantum group contraction},
  author = {Philippe Zaugg},
  journal= {arXiv preprint arXiv:hep-th/9409100},
  year   = {2009}
}

Comments

19 pages, mit-2353, harvmac

R2 v1 2026-07-22T15:51:35.124Z