dorsal/arxiv
View SchemaNull-plane Quantum Universal $R$-matrix
| Authors | A. Ballesteros, F. J. Herranz, C. M. Pereña |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607009 |
| URL | https://arxiv.org/abs/q-alg/9607009 |
| DOI | 10.1016/S0370-2693(96)01435-9 |
| Journal | Phys. Lett. B391 (1997) 71-77 |
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 $R$-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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"abstract": "A non-linear map is applied onto the (non-standard) null-plane deformation of\n(3+1) Poincar\\\u0027e algebra giving rise to a simpler form of this triangular\nquantization. A universal $R$-matrix for the null plane quantum algebra is then\nobtained from a universal $T$-matrix corresponding to a Hopf subalgebra.\nFinally, the associated Poincar\\\u0027e Poisson--Lie group is quantized by using the\nFRT approach.",
"arxiv_id": "q-alg/9607009",
"authors": [
"A. Ballesteros",
"F. J. Herranz",
"C. M. Pere\u00f1a"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1016/S0370-2693(96)01435-9",
"journal_ref": "Phys. Lett. B391 (1997) 71-77",
"title": "Null-plane Quantum Universal $R$-matrix",
"url": "https://arxiv.org/abs/q-alg/9607009"
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