Universal R--matrices for non-standard (1+1) quantum groups
A. Ballesteros, E. Celeghini, F. J. Herranz, M. A. del Olmo, M. Santander
Abstract
A universal quasitriangular R--matrix for the non-standard quantum (1+1) Poincaré algebra Uziso(1,1) is deduced by imposing analyticity in the deformation parameter z. A family gμ of ``quantum graded contractions" of the algebra Uziso(1,1) U-ziso(1,1) is obtained; this set of quantum algebras contains as Hopf subalgebras with two primitive translations quantum analogues of the two dimensional Euclidean, Poincaré and Galilei algebras enlarged with dilations. Universal R--matrices for these quantum Weyl algebras and their associated quantum groups are constructed.
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