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arxiv: q-alg/9609006 · v1 · submitted 1996-09-05 · q-alg · math.QA

Invariance quantum groups of the deformed oscillator algebra

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keywords quantumalgebracalculusdifferentialgroupinvarianceoscillatorunder
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A differential calculus is set up on a deformation of the oscillator algebra. It is uniquely determined by the requirement of invariance under a seven-dimensional quantum group. The quantum space and its associated differential calculus are also shown to be invariant under a nine generator quantum group containing the previous one.

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