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(2+1) null-plane quantum Poincaré group from a factorized universal $R$-matrix

Angel Ballesteros·Francisco J. Herranz
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Abstract

The non-standard (Jordanian) quantum deformations of $so(2,2)$ and (2+1) Poincaré 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) 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.

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Angel Ballesteros, Francisco J. Herranz. 1996-05-20. (2+1) null-plane quantum Poincaré group from a factorized universal $R$-matrix. https://doi.org/10.1142/s0217732396001739

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