O ct 1 99 5 Comment on “ Generalized q - oscillators and their Hopf structures ”
نویسندگان
چکیده
In a recent paper (1994 J. Phys. A: Math. Gen. 27 5907), Oh and Singh determined a Hopf structure for a generalized q-oscillator algebra. We prove that under some general assumptions, the latter is, apart from some algebras isomorphic to su q (2), su q (1,1), or their undeformed counterparts, the only generalized deformed oscillator algebra that supports a Hopf structure. We show in addition that the latter can be equipped with a universal R-matrix, thereby making it into a quasitriangular Hopf algebra.
منابع مشابه
v 2 2 5 Ju l 1 99 4 NUS / HEP / 94201 hep - th / 9407142 Generalized q - Oscillators and their Hopf Structures
We study the relationships among the various forms of the q oscillator algebra and consider the conditions under which it supports a Hopf structure. We also present a generalization of this algebra together with its corresponding Hopf structure. Its multimode extensions are also considered.
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