Maximal torus in linear algebraic groups and Lie algebras

Question

Let be $T \subset G$ a maximal torus in a linear algebraic group. I was looking for some link between definition in lie algebras' theory and linear algebraic groups' theory. In particular: If $Lie(G)=\mathfrak{g}$ is the lie algebra generated by $G$, we have $\mathfrak{t} \subset \mathfrak{g}$. Now $G$ is linear algebraic so I can think it as a subgroups of $GL(n,\mathbb{K})$. Let be $\mathbb{C}=\mathbb{K}$, it's true that $\mathfrak{t}$ is maximal toroidal as lie subalgebras? There is a corrispondence, in this case, between the two definition of toral in Lie Algebras' theory and Linear Algebraic Groups' theory?