In 1998, A.Alekseev and E.Meinrenken construct an explicit $G$-differential
space homomorphism $\mathcal{Q}$, called the quantization map, between the Weil
algebra $\Weil{\g}= \sym{\co{\g}} \otimes \ext{\co{\g}}$ and $\NWeil{\g}=\U{\g}
\otimes \Cl{\g}$ (which they called the noncommutative Weil algebra) for any
quadratic Lie algebra $\g$. They showed that $\mathcal{Q}$ induces an algebra
isomorphism between the basic cohomology rings $H^{\ast}_{bas}(\Weil{g})$ and
$H^{\ast}_{bas}(\NWeil{\g})$. In this paper, I interpret the quantization map
$\mathcal{Q}$ as the super Duflo map between the symmetric algebra
$S(\widetilde{T\g[1]})$ and the universal enveloping algebra
$U(\widetilde{T\g[1]})$ of a super Lie algebra $\widetilde{T\g[1]}$ which is
canonically related to the quadratic Lie algebra $\g$. The basic cohomology
rings $H^{\ast}_{bas}(\Weil{g})$ and $H^{\ast}_{bas}(\NWeil{g})$ correspond
exactly to $S(\widetilde{T\g[1]})^{inv}$ and $U(\widetilde{T\g[1]})$
respectively. So what they proved is equivalent to the fact that the Duflo map
commutes with the adjoint action of the Lie algebra, and that the Duflo map is
an algebra homomorphism when restricted to the space of invariants. In
addition, I will explain how the diagrammatic analogue of the Duflo map can be
also made for the quantization map $\mathcal{Q}$.