Let $X$ be a smooth projective variety over $\mathbb{C}$. Let $\rho: \pi_1(X,x)\rightarrow Gl(n,\mathbb{C})$ be a semisimple representation of fundamental group of $X$. The monodromy group $M(\rho, x)$ of the representation $\rho$ is defined to be the zariski closure of the image $\rho(\pi_1(X,x))$ in $Gl(n,\mathbb{C})$.

Q: Why is the above monodromy group reductive?

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