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Questions about modular forms and related areas

6 votes

Irreducibility of the $n$th symetric power of the reduction of the Galois representation of ...

For (i), if $\overline{\rho}_{f,\ell|G_{\mathbb{Q}(\zeta_\ell)}}$ was absolutely reducible, then in particular the image of $G_{\mathbb{Q}(\zeta_\ell)}$ under $\overline{\rho}$ would be solvable. Howe …
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