Let $K$ be a number field. Consider
$$ \rho_{\ell}: \mathrm{Gal}(\bar K/K) \longrightarrow \mathrm{GL}(V)$$
an $\ell$-adic Galois representation. Assume it is semi-simple rational and abelian.
Is it true that $\rho_{\ell}$ is locally algebraic?
2025-01-12 23:55:23.1736726123
locally algebraic representations
164 Views Asked by user262440 https://math.techqa.club/user/user262440/detail AtRelated Questions in REPRESENTATION-THEORY
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