q-deformation of $z\to {az+b\over cz+d}$

Physics – Mathematical Physics

Scientific paper

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LaTeX, 16 pages, we add a reference where an alternative construction of the q-Lorentz group action on the Podles sphere is gi

Scientific paper

10.1063/1.1803610

We construct the action of the quantum double of $\uq$ on the standard
Podle\'s sphere and interpret it as the quantum projective formula generalizing
to the q-deformed setting the action of the Lorentz group of global conformal
transformations on the ordinary Riemann sphere.

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