Irreducibility of polarized automorphic Galois representations in infinitely many dimensions

Zachary Feng, Dmitri Whitmore

Let $\pi$ be a polarized, regular algebraic, cuspidal automorphic representation of ${\mathrm{GL}}_n({\mathbb{A}}_F)$ where $F$ is totally real or imaginary CM, and let $({\rho }_{\lambda }{)}_{\lambda }$ b…