Jordanian quantum spheres

Mathematics – Quantum Algebra

Scientific paper

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LaTeX, 11 pages

Scientific paper

10.1142/S0217732301004832

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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