Comment on ``Generalized $q$-oscillators and their Hopf structures''

Abstract

In a recent paper (1994 {\sl J.\ Phys.\ A: Math.\ Gen.\ }{\bf 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 $\cR$-matrix, thereby making it into a quasitriangular Hopf algebra.

9 pages, LaTeX, to appear in J. Phys. A

References in corpus (1)

• Generalized q-Oscillators and their Hopf Structures

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