English

(2+1) null-plane quantum Poincar\'e group from a factorized universal $R$-matrix

q-alg 2009-10-30 v1 Quantum Algebra

Abstract

The non-standard (Jordanian) quantum deformations of so(2,2)so(2,2) and (2+1) Poincar\'e algebras are constructed by starting from a quantum sl(2,R)sl(2,\R) basis such that simple factorized expressions for their corresponding universal RR-matrices are obtained. As an application, the null-plane quantum (2+1) Poincar\'e 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 qq-Schr\"odinger equation governing the deformed null plane evolution is commented.

Keywords

Cite

@article{arxiv.q-alg/9605031,
  title  = {(2+1) null-plane quantum Poincar\'e group from a factorized universal $R$-matrix},
  author = {Angel Ballesteros and Francisco J. Herranz},
  journal= {arXiv preprint arXiv:q-alg/9605031},
  year   = {2009}
}

Comments

11 pages, LaTeX