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arxiv: math/0103088 · v1 · submitted 2001-03-14 · 🧮 math.QA

Jordanian quantum spheres

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keywords jordanianquantumspacesspheresalgebracoactionselementfamily
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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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