Equivalence of categroies between representations of $\operatorname{Sp}(2g;\mathbb{Q})$ and $\mathfrak{sp}(2g;\mathbb{Q})$.

Question

It is a well-known fact that there is in particular an equivalence of categories between the algebraic representations of the Lie group $\operatorname{Sp}(2g;\mathbb{C})$ and those of its Lie algebra $\mathfrak{sp}(2g;\mathbb{C})$. I suspect that the same is true if we replace $\mathbb{C}$ by $\mathbb{Q}$. Where can I find a reference for this fact if it is indeed true?