Conditions are given making irreducible quotients in the mod p reduction of GL_2(Q_{p^f})-Banach spaces of slopes (0,1) supercuspidal, with lattice checks for small k and f.
Diamond, A correspondence between representations of local Galois groups and Lie-type groups, In L-functions and Galois representations, volume 320 of London Math
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Reductions of $\mathrm{GL}_2(\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$
Conditions are given making irreducible quotients in the mod p reduction of GL_2(Q_{p^f})-Banach spaces of slopes (0,1) supercuspidal, with lattice checks for small k and f.