On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations
Aneva, B. L. ; Arnaudon, D. ; Chakrabarti, A. ; Dobrev, V. K. ; Mihov, S. G.
HAL, hal-00007527 / Harvested from HAL
Text on HAL
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 $GL(1|1)$.
Publié le : 2001-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00007527,
     author = {Aneva, B. L. and Arnaudon, D. and Chakrabarti, A. and Dobrev, V. K. and Mihov, S. G.},
     title = {On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00007527}
}

Aneva, B. L.; Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. On Combined Standard-Nonstandard or Hybrid (q,h)-Deformations. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007527/