Parabolic induction in characteristic \(p\)

DOI10.1007/s00029-018-0440-0zbMath1450.22008arXiv1703.04921OpenAlexW2597680120WikidataQ129252917 ScholiaQ129252917MaRDI QIDQ1618265

Marie-France Vignéras, Rachel Ollivier

Publication date: 13 November 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04921

zbMATH Keywords

Hecke algebrasrepresentations of \(p\)-adic groupsparabolic induction

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (15)

Functorial properties of pro‐p‐Iwahori cohomology ⋮ Differential equations and Lie group representations ⋮ On pro-𝑝-Iwahori invariants of 𝑅-representations of reductive 𝑝-adic groups ⋮ Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ Representations of a reductive \(p\)-adic group in characteristic distinct from \(p\) ⋮ Derived parabolic induction ⋮ On the pro-$p$ Iwahori Hecke Ext-algebra of $\mathrm{SL}_2(\mathbb{Q}_p)$ ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Hecke module structure on first and top pro-$p$-Iwahori cohomology ⋮ Modulo $p$ representations of reductive $p$-adic groups: Functorial properties ⋮ Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra ⋮ ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS ⋮ Supersingular Hecke modules as Galois representations ⋮ The first pro-$p$-Iwahori cohomology of mod-$p$ principal series for $p$-adic $GL_n$ ⋮ A comparison between pro-\(p\) Iwahori-Hecke modules and mod \(p\) representations

Cites Work

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• Compatibility between Satake and Bernstein isomorphisms in characteristic \(p\)
• Parabolic induction and Hecke modules in characteristic \(p\) for \(p\)-adic GL\(_n\)
• The classification of irreducible admissible mod \(p\) representations of a \(p\)-adic \(\mathrm{GL}_n\)
• Universal modules in natural characteristic for finite reductive groups.
• The pro-\(p\) Iwahori Hecke algebra of a reductive \(p\)-adic group. V (parabolic induction)
• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Endomorphism rings of split (B,N)-pairs
• Induced \(R\)-representations of \(p\)-adic reductive groups
• Representation theory and sheaves on the Bruhat-Tits building
• Modulo \(p\) parabolic induction of pro-\(p\)-Iwahori Hecke algebra
• Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations
• The cohomology of \(p\)-adic symmetric spaces
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Comparison of compact induction with parabolic induction
• A Satake isomorphism for representations modulo \(p\) of reductive groups over local fields
• Principal series modulo \(p\) of \(p\)-adic reductive groups
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Reductive groups over a local field
• Pro-p-Iwahori Invariants for SL₂andL-Packets of Hecke Modules
• On a classification of irreducible admissible modulo representations of a -adic split reductive group
• Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
• Pro- Iwahori–Hecke algebras are Gorenstein
• A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups
• Affine Hecke Algebras and Their Graded Version
• Finitude pour les représentations lisses de groupes p-adiques
• Le foncteur des invariants sous l'action du pro-p-Iwahori de GL2(F)
• The Irreducible Representations of the Finite General Linear Groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Modular Representations of Finite Groups with Unsaturated Split (B,N)-Pairs
• On the Theory of Frobenius Extensions and its Application to Lie Superalgebras
• Modular Representations of Finite Groups of Lie Type
• Isogeny Restrictions of Irreducible Admissible Representations are Finite Direct Sums of Irreducible Admissible Representations
• Induced representations of reductive ${\germ p}$-adic groups. I
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Representations modulo p of the p-adic group GL(2, F)
• The pro--Iwahori Hecke algebra of a reductive -adic group I
• Heisenberg algebra and a graphical calculus
• Algèbres de Hecke affines génériques
• Categories and Sheaves
• THE PRO-p-IWAHORI HECKE ALGEBRA OF A REDUCTIVEp-ADIC GROUP III (SPHERICAL HECKE ALGEBRAS AND SUPERSINGULAR MODULES)

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