Null-plane Quantum Universal $R$-matrix

Details Null-plane Quantum Universal $R$-matrix Null-plane Quantum Universal $R$-matrix

1996-07-08

arxiv.org/abs/q-alg/9607009v1

Phys. Lett. B391 (1997) 71-77

Mathematics

Quantum Algebra

8 pages, LaTeX

Scientific paper

10.1016/S0370-2693(96)01435-9

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 $R$-matrix for the null plane quantum algebra is then obtained from a universal $T$-matrix corresponding to a Hopf subalgebra. Finally, the associated Poincar\'e Poisson--Lie group is quantized by using the FRT approach.

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