Smooth representations and Hecke modules in characteristic \(p\)

DOI10.2140/pjm.2015.279.447zbMath1359.16011OpenAlexW2234898909MaRDI QIDQ903175

Peter Schneider

Publication date: 5 January 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2015.279.447

zbMATH Keywords

differential graded Hecke algebrasmooth representation

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Differential graded algebras and applications (associative algebraic aspects) (16E45) Representations of Lie and linear algebraic groups over local fields (22E50) Derived categories and associative algebras (16E35)

Related Items (17)

Functorial properties of pro‐p‐Iwahori cohomology ⋮ Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ The left adjoint of derived parabolic induction ⋮ The Bernstein centre in natural characteristic ⋮ Derived parabolic induction ⋮ Duals and admissibility in natural characteristic ⋮ On the pro-$p$ Iwahori Hecke Ext-algebra of $\mathrm{SL}_2(\mathbb{Q}_p)$ ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules ⋮ Derived right adjoints of parabolic induction: an example ⋮ Hecke module structure on first and top pro-$p$-Iwahori cohomology ⋮ On extensions of supersingular representations of \(\mathrm{SL}_2(\mathbb{Q}_p)\) ⋮ DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS ⋮ Koszul duality for Iwasawa algebras modulo 𝑝 ⋮ Supersingular Hecke modules as Galois representations ⋮ The first pro-$p$-Iwahori cohomology of mod-$p$ principal series for $p$-adic $GL_n$ ⋮ A vanishing result for higher smooth duals

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