Hecke algebras and $p$-adic groups

zbMath1372.20037arXiv1511.01386MaRDI QIDQ5283737

Xuhua He

Publication date: 24 July 2017

Full work available at URL: https://arxiv.org/abs/1511.01386

zbMATH Keywords

conjugacy classesparahoric subgroupaffine Weyl groupsCoxeter groupsShimura varieties\(p\)-adic groupscharacter tablesaffine Hecke algebrasclass polynomialsDeligne-Lusztig varietiesadmissible setsIwahori subgroupcocenters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Modular and Shimura varieties (14G35) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (12)

Dimension formula for the affine Deligne-Lusztig variety \(X(\mu, b)\) ⋮ On the \(\mu\)-ordinary locus of a Shimura variety ⋮ EXTREMAL CASES OF RAPOPORT–ZINK SPACES ⋮ Affine Deligne-Lusztig varieties and folded galleries governed by chimneys ⋮ Closure relations of Newton strata in Iwahori double cosets ⋮ Generic Newton points and the Newton poset in Iwahori-double cosets ⋮ Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes ⋮ Fully Hodge-Newton decomposable Shimura varieties ⋮ Cordial elements and dimensions of affine Deligne–Lusztig varieties ⋮ Connected components of closed affine Deligne-Lusztig varieties ⋮ Stratifications of affine Deligne-Lusztig varieties ⋮ Affine Deligne-Lusztig varieties and quantum Bruhat graph

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