scientific article

zbMath0706.22014MaRDI QIDQ3487660

Marie-France Vignéras

Publication date: 1989

Full work available at URL: http://www.numdam.org/item?id=CM_1989__72_1_33_0

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zbMATH Keywords

characterirreducible representationsrestrictionmodular representationsBorel subgroupWhittaker modelscuspidal\(GL_ 2\)local archimedean field

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (13)

La conjecture de Langlands locale pour GL(n,F) modulo quand ≠p, >n ⋮ Irreducible modular representations of GL\(_ 2\) of a local field ⋮ L’involution de Zelevinski modulo ℓ ⋮ The Kirillov model in families ⋮ On pro-𝑝-Iwahori invariants of 𝑅-representations of reductive 𝑝-adic groups ⋮ Image of \(\varLambda \)-adic Galois representations modulo \(p\) ⋮ A Serre weight conjecture for geometric Hilbert modular forms in characteristic \(p\) ⋮ Towards a mod-p Lubin–Tate theory for GL2 over totally real fields ⋮ Modulo $p$ representations of reductive $p$-adic groups: Functorial properties ⋮ Espaces symétriques de Drinfeld et correspondance de Langlands locale ⋮ Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné) ⋮ Universal module in characteristic \(l>0\) associated to a character of the Hecke algebra of \(\text{GL}(n)\) over a \(p\)-adic field with \(l\neq p\) ⋮ Supercuspidal representations of \(\mathrm{GL}_n(\mathrm{F})\) distinguished by a Galois involution

Cites Work

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• Conducteur des représentations du groupe linéaire
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Automorphic forms on GL (2)
• Modular representations of the group GL(2) over a local field
• Formes Modulaires et Representations De GL(2)
• Représentations cuspidales du groupe linéaire
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD

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