The pro-\(p\) Iwahori Hecke algebra of a reductive \(p\)-adic group. V (parabolic induction)

DOI10.2140/pjm.2015.279.499zbMath1332.22019OpenAlexW2223568377MaRDI QIDQ903178

Marie-France Vignéras

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.2015.279.499

zbMATH Keywords

parabolic inductionalcove walk basispro-\(p\) Iwahori Hecke algebra

Mathematics Subject Classification ID

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

Related Items (15)

Functorial properties of pro‐p‐Iwahori cohomology ⋮ Parabolic induction in characteristic \(p\) ⋮ Inverse Satake isomorphism and change of weight ⋮ On pro-𝑝-Iwahori invariants of 𝑅-representations of reductive 𝑝-adic groups ⋮ Cocenters and representations of pro-𝑝 Hecke algebras ⋮ EXTENSION BETWEEN SIMPLE MODULES OF PRO-p-IWAHORI HECKE ALGEBRAS ⋮ Some results on simple supercuspidal representations of \(\operatorname{GL}_{n}(F)\) ⋮ Generic and mod 𝑝 Kazhdan-Lusztig Theory for 𝐺𝐿₂ ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ On extensions of supersingular representations of \(\mathrm{SL}_2(\mathbb{Q}_p)\) ⋮ Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra ⋮ Parabolic inductions for pro-\(p\)-Iwahori Hecke algebras ⋮ Normal elements in the Iwasawa algebras of Chevalley groups ⋮ A comparison between pro-\(p\) Iwahori-Hecke modules and mod \(p\) representations ⋮ Involutions on pro-𝑝-Iwahori Hecke algebras

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