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• W3122809296 startingPage "1353" @default.
• W3122809296 abstract "In this paper we prove that for any connected reductive algebraic group G and a large enough prime $l$, there are continuous homomorphisms $$mathrm{Gal}(barmathbb Q/mathbb Q) to G(barmathbb Q_l)$$ with Zariski-dense image, in particular we produce the first such examples for $SL_n, Sp_{2n}, Spin_n, E_6^{sc}$ and $E_7^{sc}$. To do this, we start with a mod-$l$ representation of $mathrm{Gal}(barmathbb Q/mathbb Q)$ related to the Weyl group of $G$ and use a variation of Stefan Patrikis' generalization of a method of Ravi Ramakrishna to deform it to characteristic zero." @default.
• W3122809296 created "2021-02-01" @default.
• W3122809296 creator A5048878001 @default.
• W3122809296 date "2019-08-18" @default.
• W3122809296 modified "2023-09-25" @default.
• W3122809296 title "Algebraic monodromy groups of l-adic representations of Gal(ℚ∕ℚ)" @default.
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• W3122809296 doi "https://doi.org/10.2140/ant.2019.13.1353" @default.
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