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

B. L. Aneva·D. Arnaudon·A. Chakrabarti·V. K. Dobrev·S. G. Mihov
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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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B. L. Aneva, D. Arnaudon, A. Chakrabarti, V. K. Dobrev, S. G. Mihov. 2000-06-27. On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations. https://doi.org/10.1063/1.1343881

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