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Generalized Poincaré algebras, Hopf algebras and kappa-Minkowki spacetime

We propose a generalized description for the kappa-Poincare Hopf algebra as a symmetry quantum group of underlying kappa-Minkowski spacetime. We investigate all the possible implementations of (deformed) Lorentz algebras which are compatible with the given choice of kappa-Minkowski algebra realization. For the given realization of kappa-Minkowski spacetime there is a unique kappa-Poincare Hopf algebra with undeformed Lorentz algebra. We have constructed a three-parameter family of deformed Lorentz generators with kappa-Poincare algebras which are related to kappa-Poincare Hopf algebra with undeformed Lorentz algebra. Known bases of kappa-Poincare Hopf algebra are obtained as special cases. Also deformation of igl (4) Hopf algebra compatible with the kappa-Minkowski spacetime is presented. Some physical applications are briefly discussed.

kappa-Minkowski spacetime ; kappa-Poincaré Hopf algebra

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