Abstract
The nonstandard (Jordanian) quantum deformations of so(2, 2) and (2+1) Poincare algebras are constructed by starting from a quantum sl(2, ℝ) basis such that simple factorized expressions for their corresponding universal R-matrices are obtained. As an application, the null-plane quantum (2+1) Poincare 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.
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