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arxiv: math/9801083 · v1 · submitted 1998-01-19 · 🧮 math.QA

A General q-Oscillator Algebra

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keywords oscillatoralgebrageneralhonghopfmacfarlane-biedenharnstructurecases
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It is well-known that the Macfarlane-Biedenharn $q$-oscillator and its generalization has no Hopf structure, whereas the Hong Yan $q$-oscillator can be endowed with a Hopf structure. In this letter, we demonstrate that it is possible to construct a general $q$-oscillator algebra which includes the Macfarlane-Biedenharn oscillator algebra and the Hong Yan oscillator algebra as special cases.

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