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Mathematics  2001 

Jordanian quantum spheres

DOI: 10.1142/S0217732301004832

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Abstract:

We introduce and investigate a one parameter family of quantum spaces invariant under the left (right) coactions of the group-like element ${\cal T}_{h}^{(j=1)}$ of the Jordanian function algebra $Fun_{h}(SL(2))$. These spaces may be regarded as Jordanian quantization of the two-dimensional spheres.

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