  We discuss various symmetry properties of the N = 2 supersymmetric quantum
spin model in one (0 + 1)-dimension of spacetime and provide their relevance in
the realm of the mathematics of differential geometry. We show one-to-one
mapping between the continuous symmetry transformations (and corresponding
generators) and de Rham cohomological operators of differential geometry. One
of the novel observations is the existence of discrete symmetry transformations
which play a crucial role in providing the physical realization of the Hodge
duality ($\star$) operation. Thus, the present model provides a toy model for
the Hodge theory.
