I am trying to pin down a definition for a $n$-dimensional modular Galois representation $$\rho : \text{Gal}(\overline{\mathbb{Q}}/\mathbb{Q}) \rightarrow \text{GL}_n(A).$$
I am just looking for the specific properties or a reference. Thank you.
2026-03-25 17:37:42.1774460262
Definition of a "modular Galois representation"
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For $n=2$, I recommend Serre's "Sur les représentations modulaires de degré 2 de $\text{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$", Duke Math. Journal, Vol. 54, No. 1, 1987.