dorsal/arxiv
View SchemaNon-standard quantum (1+1) Poincar\'e group: a $T$--matrix approach
| Authors | A. Ballesteros, F. J. Herranz, M. A. del Olmo, C. M. Pereña, M. Santander |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501029 |
| URL | https://arxiv.org/abs/q-alg/9501029 |
| DOI | 10.1088/0305-4470/28/24/012 |
| Journal | J.Phys. A28 (1995) 7113-7125 |
Abstract
The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincar\'e algebra $iso(1,1)$ is deduced. In this framework, the quantum coordinates that generate $Fun_w(ISO(1,1))$ define an infinite dimensional Lie algebra. A change in the basis of the dual form is obtained in order to compare this deformation to the standard one. Finally, a non--standard quantum Heisenberg group acting on a quantum Galilean plane is obtained.
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"abstract": "The Hopf algebra dual form for the non--standard uniparametric deformation of\nthe (1+1) Poincar\\\u0027e algebra $iso(1,1)$ is deduced. In this framework, the\nquantum coordinates that generate $Fun_w(ISO(1,1))$ define an infinite\ndimensional Lie algebra. A change in the basis of the dual form is obtained in\norder to compare this deformation to the standard one. Finally, a non--standard\nquantum Heisenberg group acting on a quantum Galilean plane is obtained.",
"arxiv_id": "q-alg/9501029",
"authors": [
"A. Ballesteros",
"F. J. Herranz",
"M. A. del Olmo",
"C. M. Pere\u00f1a",
"M. Santander"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1088/0305-4470/28/24/012",
"journal_ref": "J.Phys. A28 (1995) 7113-7125",
"title": "Non-standard quantum (1+1) Poincar\\\u0027e group: a $T$--matrix approach",
"url": "https://arxiv.org/abs/q-alg/9501029"
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