Abstract

Noncommutative (super) spaces relating to the coherent states for quantum (super) groups are investigated. Introducing a new definition of coherent states, it is shown that for some examples the use of such coherent states provide a complex description of homogeneous spaces of quantum groups. We give a concise summary of our study on the cases of quantum harmonic oscillator group, SUq(2),SUq(1,1) and OSpq(1/2).

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