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Four-dimensional quantum affine algebras and space–time <i>q</i>-symmetries

Four-dimensional quantum affine algebras and space–time <i>q</i>-symmetries

A global model of the q deformation for the quasiorthogonal Lie algebras generating the groups of motions of the four-dimensional affine Cayley–Klein (CK) geometries is obtained starting from the three-dimensional deformations. It is shown how the main algebraic classical properties of the CK systems can be implemented in the quantum …