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Let $X$ be a smooth, separated, geometrically connected scheme defined over anumber field $K$ and $\{\rho_\lambda\}_\lambda$ a system of n-dimensionalsemisimple $\lambda$-adic representations of the \'etale fundamental group of$X$ such that for each closed point $x$ of $X$, the specialization$\{\rho_{\lambda,x}\}_\lambda$ is a compatible system of Galois representationsunder mild local conditions. For almost all $\lambda$, we prove that any type Airreducible subrepresentation of $\rho_\lambda\otimes \bar{\mathbb{Q}}_\ell$ isresidually irreducible. When $K$ is totally real or CM, $n\leq 6$, and$\{\rho_\lambda\}_\lambda$ is the compatible system of Galois representationsof $K$ attached to a regular algebraic, polarized, cuspidal automorphicrepresentation of $\mathrm{GL}_n(\mathbb{A}_K)$, for almost all $\lambda$ weprove that $\rho_\lambda\otimes\bar{\mathbb{Q}}_\ell$ is (i) irreducible and(ii) residually irreducible if in addition $K=\mathbb{Q}$.

Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations