Coefficient systems and supersingular representations of $\mathrm {GL}_2(F)$
Coefficient systems and supersingular representations of $\mathrm {GL}_2(F)$
Let F be a non-Archimedean local field with the residual characteristic p.We construct a "good" number of smooth irreducible F p -representations of GL 2 (F ), which are supersingular in the sense of Barthel and Livné.If F = Q p then results of Breuil imply that our construction gives …