Iwahori-Hecke model for mod p representations of GL(2,F)

Autor: Anandavardhanan, U. K., Jana, Arindam

Publikováno v: Pacific J. Math. 315 (2021) 255-283

For a $p$-adic field $F$, the space of pro-$p$-Iwahori invariants of a universal supersingular mod $p$ representation $\tau$ of ${\rm GL}_2(F)$ is determined in the works of Breuil, Schein, and Hendel. The representation $\tau$ is introduced by Barth

Externí odkaz: http://arxiv.org/abs/2101.11458

Sur la présentation des représentations supersinguliéres de $\mathrm{GL}_2(F)$

Autor: Benjamin Schraen

Publikováno v: Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2015, 2015 (704), pp.187-208. ⟨10.1515/crelle-2013-0049⟩

Let $F$ be a quadratic extension of $\mathbb{Q}_p$. We prove that smooth irreducible supersingular representations with central character of $\mathrm{GL}_2(F)$ are not of finite presentation.
Comment: 19 pages, minor mistakes corrected, minor ch

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abbbe4abaabd9f51b7a8f8d11a65dbe8
https://hal.archives-ouvertes.fr/hal-00661644v3/file/Presentation.pdf