0 M ay 1 99 6 ( 2 + 1 ) null - plane quantum Poincaré group from a factorized universal R - matrix
نویسنده
چکیده
The non-standard (Jordanian) quantum deformations of so(2, 2) and (2+1) Poincaré algebras are constructed by starting from a quantum sl(2, IR) basis such that simple factorized expressions for their corresponding universal R-matrices are obtained. As an application, the null-plane quantum (2+1) Poincaré Poisson-Lie group is quantized by following the FRT prescription. Matrix and differential representations of this null-plane deformation are presented, and the influence of the choice of the basis in the resultant q-Schrödinger equation governing the deformed null plane evolution is commented.
منابع مشابه
ar X iv : q - a lg / 9 71 10 01 v 2 7 N ov 1 99 7 Universal R – matrix for null – plane quantized Poincaré algebra
The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
متن کاملar X iv : q - a lg / 9 71 10 01 v 1 3 N ov 1 99 7 Universal R – matrix for null – plane quantized Poincaré algebra
The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
متن کاملX iv : q - a lg / 9 71 10 01 v 3 1 D ec 1 99 7 Universal R – matrix for null – plane quantized Poincaré algebra
The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
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