Coefficient systems and supersingular representations of $\mathrm {GL}_2(F)$

2004Mémoires de la Société mathématique de FranceMathematics被引 4开放获取

摘要

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 Livn. If F = Q p then results of Breuil imply that our construction gives all the supersingular representations up to the twist by an unramified quasi-character. We conjecture that this is true for an arbitrary F .

引用本文（GB/T 7714）

Vytautas Paškūnas. Coefficient systems and supersingular representations of $\mathrm {GL}_2(F)$[J]. Mémoires de la Société mathématique de France, 2004.

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DOI：https://doi.org/10.24033/msmf.412

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