The quantum Poincare group from quantum group contraction

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 $\kappa$--Poincaré Hopf algebra, at least in two dimensions.

19 pages, mit-2353, harvmac

References in corpus (6)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Quantum $\kappa$-Poincare in Any Dimensions
• Braided Momentum Structure of the q-Poincare Group
• The 2-Dimensional Quantum Euclidean Algebra
• General compact quantum groups, a tutorial
• The quantum 2-dimensional Poincare group from quantum group contraction

Cited by in corpus (3)

• Cayley--Klein Contractions of Quantum Orthogonal Groups in Cartesian Basis
• On contractions of quantum orthogonal groups
• Physical Coordinate as Eigen Values of Translation Operators in Non-commutative Spaces