The quantum 2-dimensional Poincare group from quantum group contraction

Abstract

A new derivation of the quantum deformation of the 2 dimensional Euclidean Poincare group (cf S. Zakrzewski) is proposed. It is based on a contraction of the Hopf algebra Fun(SO_q(3)). The deformation parameter q is sent to one, as in the construction of the $\kappa$-Poincare deformed algebra. The quantum group obtained is dual to that algebra.

8 pages

References in corpus (2)

• Quantum $\kappa$-Poincare in Any Dimensions
• The 2-Dimensional Quantum Euclidean Algebra

Cited by in corpus (5)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• The quantum Poincare group from quantum group contraction
• On contractions of quantum orthogonal groups
• Kappa-contraction from $S{U}_q(2)$ to $E_{\kappa }(2)$
• Physical Coordinate as Eigen Values of Translation Operators in Non-commutative Spaces