  Quantization with coherent states allows to " quantize " any space X of
parameters. In the case where X is a phase space, this leads to the usual
quantum mechanics. But the procedure is much more general, and does not require
a symplectic, or any kind of structure in X, other than a measure. It is simply
considered as a different way to look at the system, the choice of a
resolution, in analogy with data handling, where coherent states (e.g., under
the form of wavelets) are very efficient.
  Here, we present the complex coherent states quantization of the 2-sphere,
with emphasis on the links with group representation. We show how this
procedure leads naturally to the fuzzy sphere and to non commutative geometry.
