A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\)

DOI10.5802/AIF.3043zbMath1364.22007arXiv1210.0646OpenAlexW2345486366MaRDI QIDQ507076

Karol Kozioł

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0646

zbMATH Keywords

unitary groupslocal Langlands correspondencesupersingular representationsmod-\(p\) representations

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (10)

From p-modular to p-adic Langlands Correspondences for $${\mathrm {U}(1,1)({\mathbb {Q}_{{p}^{2}}}/\mathbb {Q}_{p})}$$ : Deformations in the Non-supercuspidal Case ⋮ A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Internal structure of representations modulo \(p\) of \(\mathrm{SL}_2(\mathbb Q_p)\) ⋮ Unnamed Item ⋮ Parabolic induction and extensions ⋮ A note on presentations of supersingular representations of \(\mathrm{GL}_2(F)\) ⋮ ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS ⋮ A vanishing result for higher smooth duals ⋮ Serre weight conjectures for \(p\)-adic unitary groups of rank 2

Cites Work

• Unnamed Item
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• The image of Colmez's Montreal functor
• Irreducible modular representations of GL\(_ 2\) of a local field
• Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Central characters for smooth irreducible modular representations of \(\operatorname{GL}_2(\mathbb Q_p)\)
• The conjectural connections between automorphic representations and Galois representations
• The Fontaine-Mazur conjecture for $ {GL}_2$
• EXTENDING REPRESENTATIONS OF H TO G WITH DISCRETE G/H
• L-Indistinguishability For SL (2)
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
• [https://portal.mardi4nfdi.de/wiki/Publication:4676597 Invariant et s�rie sp�ciale -adique]
• Une remarque sur les représentations locales $p$-adiques et les congruences entre formes modulaires de Hilbert
• Hecke modules and supersingular representations of U(2,1)
• The Right Adjoint of the Parabolic Induction

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