The Bernstein Presentation for general connected reductive groups

DOI10.1112/jlms/jdu080zbMath1316.22016arXiv1312.7374OpenAlexW3103173500MaRDI QIDQ5245682

Sean Rostami

Publication date: 14 April 2015

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7374

zbMATH Keywords

Shimura varietiesreductive algebraic groupIwahori-Hecke algebraaffine Hecke algebraBernstein PresentationIwahori-Matsumoto Presentation

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (6)

Conjugacy classes of non-translations in affine Weyl groups and applications to Hecke algebras ⋮ Iwahori-Hecke algebra and unramified local \(L\)-functions ⋮ The test function conjecture for local models of Weil-restricted groups ⋮ The test function conjecture for parahoric local models ⋮ Kottwitz's nearby cycles conjecture for a class of unitary Shimura varieties ⋮ A Hecke algebra isomorphism over close local fields

Cites Work

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• Local models of Shimura varieties and a conjecture of Kottwitz
• Alcove walks and nearby cycles on affine flag manifolds.
• Reductive groups over a local field
• Affine Hecke Algebras and Their Graded Version
• Conjugacy classes of non-translations in affine Weyl groups and applications to Hecke algebras
• The Satake isomorphism for special maximal parahoric Hecke algebras
• The combinatorics of Bernstein functions
• Local models in the ramified case. III Unitary groups

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