Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra.

DOI10.1016/S0021-8693(02)00023-6zbMath1056.20003arXivmath/0201176MaRDI QIDQ1849094

Thomas J. Haines, Alexandra Pettet

Publication date: 28 November 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201176

zbMATH Keywords

root systemsaffine Hecke algebrasperverse sheavesextended affine Weyl groupsaffine Schubert varietiesBernstein presentationsDemazure resolutionsIwahori-Matsumoto generatorsminimal expressionsminuscule coweightsstandard basis vectors

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (5)

Alcove walks and nearby cycles on affine flag manifolds. ⋮ The Jordan-Hölder series for nearby cycles on some Shimura varieties and affine flag varieties ⋮ Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations ⋮ Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds ⋮ Towers of solutions of qKZ equations and their applications to loop models

Cites Work

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• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Representations of Coxeter groups and Hecke algebras
• Irreducible representations of finite classical groups
• Cells in affine Weyl groups and tensor categories
• Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)
• Test functions for Shimura varieties: the Drinfeld case
• On the center of affine Hecke algebras of type \(A\).
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Affine Hecke Algebras and Their Graded Version
• The combinatorics of Bernstein functions

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