Universal R–matrices for non-standard (1+1) quantum groups
نویسنده
چکیده
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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