scientific article; zbMATH DE number 6412752

zbMath1319.11029MaRDI QIDQ5177855

Ramla Abdellatif

Publication date: 6 March 2015

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/142/html/smf_bull_142_537-589.php

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zbMATH Keywords

modular representationsspecial linear groupsupersingular representationsmod \(p\) Langlands correspondence

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (16)

Functorial properties of pro‐p‐Iwahori cohomology ⋮ 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 ⋮ Mod \(p\) representations of \(\mathrm{SL}_2(\mathbb Q_p)\) ⋮ A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Pro-isomorphic zeta functions of some 𝐷* Lie lattices of even rank ⋮ Derived right adjoints of parabolic induction: an example ⋮ Internal structure of representations modulo \(p\) of \(\mathrm{SL}_2(\mathbb Q_p)\) ⋮ Unnamed Item ⋮ On extensions of supersingular representations of \(\mathrm{SL}_2(\mathbb{Q}_p)\) ⋮ A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\) ⋮ Parabolic induction and extensions ⋮ ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS ⋮ A vanishing result for higher smooth duals ⋮ Hecke modules and supersingular representations of U(2,1) ⋮ Serre weight conjectures for \(p\)-adic unitary groups of rank 2

Cites Work

• Irreducible modular representations of GL\(_ 2\) of a local field
• Principal indecomposable representations for the group SL(2,q)
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• L-Indistinguishability For SL (2)
• Local models in the ramified case. III Unitary groups
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