English

Null-plane Quantum Universal $R$-matrix

q-alg 2009-10-30 v1 Quantum Algebra

Abstract

A non-linear map is applied onto the (non-standard) null-plane deformation of (3+1) Poincar\'e algebra giving rise to a simpler form of this triangular quantization. A universal RR-matrix for the null plane quantum algebra is then obtained from a universal TT-matrix corresponding to a Hopf subalgebra. Finally, the associated Poincar\'e Poisson--Lie group is quantized by using the FRT approach.

Keywords

Cite

@article{arxiv.q-alg/9607009,
  title  = {Null-plane Quantum Universal $R$-matrix},
  author = {A. Ballesteros and F. J. Herranz and C. M. Pereña},
  journal= {arXiv preprint arXiv:q-alg/9607009},
  year   = {2009}
}

Comments

8 pages, LaTeX