We discuss the equivalence between the path integral representations o
f spin dynamics for anti-commuting (Grassmann) and commuting variables
and establish a bosonization dictionary for both generators of spin a
nd single fermion operators. The content of this construction in terms
of the representations of the spin algebra is discussed in the path i
ntegral setting. Finally it is shown how a 'free field realization' (D
yson mapping) can be constructed in the path integral.