On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Physics Année : 2001

On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations

B. L. Aneva
  • Fonction : Auteur
V. K. Dobrev
  • Fonction : Auteur
S. G. Mihov
  • Fonction : Auteur

Résumé

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 $GL(1|1)$.

Dates et versions

hal-00007527 , version 1 (13-07-2005)

Identifiants

Citer

B. L. Aneva, D. Arnaudon, A. Chakrabarti, V. K. Dobrev, S. G. Mihov. On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations. Journal of Mathematical Physics, 2001, 42, pp.1236-1249. ⟨hal-00007527⟩

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