q-deformation of $z\to {az+b\over cz+d}$
Mathematical Physics
2009-11-10 v3 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We construct the action of the quantum double of 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.
Keywords
Cite
@article{arxiv.math-ph/0310062,
title = {q-deformation of $z\to {az+b\over cz+d}$},
author = {C. Klimcik},
journal= {arXiv preprint arXiv:math-ph/0310062},
year = {2009}
}
Comments
LaTeX, 16 pages, we add a reference where an alternative construction of the q-Lorentz group action on the Podles sphere is given