  The Lie algebra su(2) of the classical group SU(2) is built from two
commuting quon algebras for which the deformation parameter is a common root of
unity. This construction leads to (i) a not very well-known polar decomposition
of the ladder generators of the SU(2) group, in terms of a unitary operator and
a Hermitean operator, and (ii) a nonstandard quantization scheme, alternative
to the usual quantization scheme correponding to the diagonalization of the
Casimir of su(2) and of the z-generator. The representation theory of the SU(2)
group can be developed in this nonstandard scheme. The key ideas for developing
the Wigner-Racah algebra of the SU(2) group in the nonstandard scheme are
given. In particular, some properties of the coupling and recoupling
coefficients as well as the Wigner-Eckart theorem in the nonstandard scheme are
examined in great detail.
