\(P\)-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras.

DOI10.1007/s00029-014-0170-xzbMath1325.20002arXiv1310.3940OpenAlexW2091730641MaRDI QIDQ2355001

Xuhua He, Sian Nie

Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1310.3940

zbMATH Keywords

affine Hecke algebrasaffine Deligne-Lusztig varietiesparabolic subalgebrascocenters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Conjugacy classes for groups (20E45) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Irreducible components of minuscule affine Deligne-Lusztig varieties ⋮ Cocenters and representations of affine Hecke algebras ⋮ Cocenter of \(p\)-adic groups. II: Induction map ⋮ Fundamental elements of an affine Weyl group

Cites Work

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• Geometric and homological properties of affine Deligne-Lusztig varieties
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Minimal length elements of extended affine Weyl groups
• Affine Hecke Algebras and Their Graded Version
• Hecke Algebras with Unequal Parameters
• Affine Deligne–Lusztig varieties in affine flag varieties

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