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| HAL: hal-00007527, version 1 |
| arXiv: math.QA/0006206 |
| Detailed view |  Export this paper |
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| Journal of Mathematical Physics 42 (2001) 1236-1249 |
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| On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations |
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| B. L. AnevaD. Arnaudon 1 |
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| Combined $(q,h)$-deformations proposed by Kupershmidt and Ballesteros-Herranz-Parashar are studied. In each case a transformation is shown to lead to an equivalent, standard $q$-deformation. We briefly indicate that appropriate singular limits of the same type of transformations can however lead from standard biparametric $(p,q)$-deformations to non-hybrid but biparametric nonstandard $(g,h)$ ones. Finally a case of hybrid $(q,h)$-deformation is recalled, related to the superalgebra $GL(1|1)$. |
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| 1: | Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH) |
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CNRS : UMR5108 – Université de Savoie |
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| 2: | Centre de Physique Théorique (CPHT) |
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CNRS : UMR7644 – Polytechnique - X |
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| Subject | : | Mathematics/Quantum Algebra |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math.QA/0006206 |
| hal-00007527, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00007527 | |
| oai:hal.archives-ouvertes.fr:hal-00007527 | |
| From: Import arXiv | |
| Submitted on: Wednesday, 13 July 2005 17:22:30 | |
| Updated on: Wednesday, 13 July 2005 17:22:30 | |
