On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations
B. L. Aneva, D. Arnaudon, A. Chakrabarti, V. K. Dobrev, S. G. Mihov
Abstract
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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