The Satake isomorphism for special maximal parahoric Hecke algebras

DOI10.1090/S1088-4165-10-00370-5zbMath1251.22013arXiv0907.4506OpenAlexW1976965799MaRDI QIDQ3558899

Thomas J. Haines, Sean Rostami

Publication date: 11 May 2010

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4506

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) 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)

Related Items (18)

Conjugacy classes of non-translations in affine Weyl groups and applications to Hecke algebras ⋮ Inverse Satake isomorphism and change of weight ⋮ Local models of Shimura varieties and a conjecture of Kottwitz ⋮ Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups ⋮ On the decomposition of Hecke polynomials over parabolic Hecke algebras ⋮ Iwahori-Hecke algebra and unramified local \(L\)-functions ⋮ The pro--Iwahori Hecke algebra of a reductive -adic group I ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure ⋮ The test function conjecture for parahoric local models ⋮ Self-dual cuspidal representations ⋮ Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra ⋮ Langlands parameters associated to special maximal parahoric spherical representations ⋮ Functoriality, Smith theory, and the Brauer homomorphism ⋮ Geometrization of principal series representations of reductive groups ⋮ Contragredient representations over local fields of positive characteristic ⋮ The Bernstein Presentation for general connected reductive groups ⋮ A Hecke algebra isomorphism over close local fields

Cites Work

• The base change fundamental lemma for central elements in parahoric Hecke algebras
• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• Local models for ramified unitary groups
• Galois-Kohomologie halb einfacher algebraischer Gruppen über \(p\)-adischen Körpern. I, II
• Reductive groups over a local field
• Local models in the ramified case. III Unitary groups
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