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arxiv: q-alg/9607009 · v1 · submitted 1996-07-08 · q-alg · math.QA

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Null-plane Quantum Universal R-matrix

A. Ballesteros , F.J. Herranz , C.M. Pere\~na
Authors on Pith no claims yet
classification q-alg math.QA
keywords matrixuniversalalgebranull-planepoincarquantumappliedapproach
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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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  1. Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames

    math.QA 2026-04 unverdicted novelty 7.0

    A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spac...