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(SOq(3)). The deformation parameter q is sent to one, as in the construction of the -Poincare deformed algebra. The quantum group obtained is dual to that algebra.

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