  We review several procedures of quantization formulated in the framework of
(classical) phase space M. These quantization methods consider Quantum
Mechanics as a "deformation" of Classical Mechanics by means of the
"transformation" of the commutative algebra of smooth functions on M in a new
non-commutative algebra. These ideas lead in a natural way to Quantum Groups as
deformation (or quantization, in a broad sense) of Poisson-Lie groups, which is
also analysed here.
