Institut de Mathématiques de Luminy

Abstract 2003-12

Klimcik Ctirad.
q-deformation of z\to {az+b\over cz+d}

These are notes on Podle's sphere that are somewhat complementary to what is standardly discussed on this subject because we concentrate to the case when the deformation parameter lives on a unit circle. The central result is 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.


Last update : october 29, 2003, EL.