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