Cocenters and representations of affine Hecke algebras
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Publication:2408261
DOI10.4171/JEMS/737zbMath1373.20002arXiv1409.0902MaRDI QIDQ2408261
Publication date: 12 October 2017
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.0902
Hecke algebras and their representations (20C08) Conjugacy classes for groups (20E45) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of Lie and linear algebraic groups over local fields (22E50)
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Types and unitary representations of reductive \(p\)-adic groups ⋮ EXTREMAL CASES OF RAPOPORT–ZINK SPACES ⋮ On the structure of the affine asymptotic Hecke algebras ⋮ Cocenters and representations of pro-𝑝 Hecke algebras ⋮ Cocenter of \(p\)-adic groups. II: Induction map ⋮ COCENTERS OF -ADIC GROUPS, I: NEWTON DECOMPOSITION ⋮ Cocenters of \(p\)-adic groups. III: Elliptic and rigid cocenters
Cites Work
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- Canonical bases and affine Hecke algebras of type \(D\).
- Discrete series characters for affine Hecke algebras and their formal degrees.
- Canonical bases and affine Hecke algebras of type \(B\).
- Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups.
- The cocenter of the graded affine Hecke algebra and the density theorem
- On representations of affine Hecke algebras of type \(B\).
- Representations of affine Hecke algebras of type \(\widetilde G_2\).
- Homological algebra for affine Hecke algebras.
- An exotic Deligne-Langlands correspondence for symplectic groups.
- Proof of the Deligne-Langlands conjecture for Hecke algebras
- Cuspidal geometry of p-adic groups
- Representations of groups over close local fields
- Trace Paley-Wiener theorem for reductive p-adic groups
- A unitarity criterion for p-adic groups
- Representations of Hecke algebras of type \(B_n\)
- Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
- On elliptic tempered characters
- Representation theory and sheaves on the Bruhat-Tits building
- Cyclic homology and the Selberg principle
- Unitary spherical spectrum for \(p\)-adic classical groups
- The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
- On the \(K_0\) of a \(p\)-adic group
- Unitarizability of certain series of representations
- \(P\)-alcoves, parabolic subalgebras and cocenters of affine Hecke algebras.
- Geometric and homological properties of affine Deligne-Lusztig varieties
- Hochschild homology of affine Hecke algebras.
- 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
- Representations of affine Hecke algebras and based rings of affine Weyl groups
- Smooth representations of reductive p -ADIC groups: structure theory via types
- ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
- Reduction to Real Infinitesimal Character in Affine Hecke Algebras
- Unitary equivalences for reductive p-adic groups