The quantum 2-dimensional Poincare group from quantum group contraction
classification
✦ hep-th
math.QA
keywords
groupquantumalgebrapoincarecontractiondeformationdimensionalconstruction
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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.
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