On combined standard-nonstandard or hybrid (q,h)-deformations

Authors
Aneva, BL Arnaudon, D Chakrabarti, A Dobrev, VK Mihov, SG
Citation
Bl. Aneva et al., On combined standard-nonstandard or hybrid (q,h)-deformations, J MATH PHYS, 42(3), 2001, pp. 1236-1249
Citations number
21
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
3
Year of publication
2001
Pages
1236 - 1249
Database
ISI
SICI code
0022-2488(200103)42:3<1236:OCSOH(>2.0.ZU;2-8
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 s ingular limits of the same type of transformations can however lead from st andard biparametric (p,q)-deformations to nonhybrid but biparametric nonsta ndard (g,h) ones. Finally a case of hybrid (q,h)-deformation is recalled, r elated to the superalgebra GL(1\1). (C) 2001 American Institute of Physics.