Null-plane Quantum Universal $R$-matrix

Abstract

A non-linear map is applied onto the (non-standard) null-plane deformation of (3+1) Poincaré 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 Poincaré Poisson--Lie group is quantized by using the FRT approach.

8 pages, LaTeX

References in corpus (5)

• A New Null-Plane Quantum Poincare Algebra
• Quantum Group and Quantum Symmetry
• Non-standard quantum (1+1) Poincaré group: a $T$--matrix approach
• The universal R-matrix for the Jordanian deformation of sl(2), and the contracted forms of so(4)
• (2+1) null-plane quantum Poincaré group from a factorized universal $R$-matrix

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