(2+1) null-plane quantum Poincar\'e group from a factorized universal $R$-matrix
q-alg
2009-10-30 v1 量子代数
摘要
The non-standard (Jordanian) quantum deformations of and (2+1) Poincar\'e algebras are constructed by starting from a quantum basis such that simple factorized expressions for their corresponding universal -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 -Schr\"odinger equation governing the deformed null plane evolution is commented.
引用
@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}
}
备注
11 pages, LaTeX