Algèbres de Hecke affines génériques

DOI10.1090/S1088-4165-06-00185-3zbMath1134.22014arXivmath/0301058OpenAlexW2156108950MaRDI QIDQ5445056

Marie-France Vignéras

Publication date: 28 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0301058

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Congruences for modular and (p)-adic modular forms (11F33) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (13)

Hecke algebras and affine flag varieties in characteristic \(p\) ⋮ Parabolic induction in characteristic \(p\) ⋮ Differential equations and Lie group representations ⋮ Simple modules in characteristic \(p\) of the pro-\(p\) Iwahori Hecke algebra of \(\mathrm{GL}_3(F)\) ⋮ Irreducibility criterion for the principal series in characteristic \(p\) of \(\text{GL}_n(F)\) ⋮ Inverse Satake isomorphism and change of weight ⋮ Pro- Iwahori–Hecke algebras are Gorenstein ⋮ Coefficient Systems on the Bruhat-Tits Building and Pro-𝑝 Iwahori-Hecke Modules ⋮ Generic and mod 𝑝 Kazhdan-Lusztig Theory for 𝐺𝐿₂ ⋮ The pro--Iwahori Hecke algebra of a reductive -adic group I ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Parabolic induction via the parabolic pro-𝑝 Iwahori–Hecke algebra ⋮ THE PRO-p-IWAHORI HECKE ALGEBRA OF A REDUCTIVEp-ADIC GROUP III (SPHERICAL HECKE ALGEBRAS AND SUPERSINGULAR MODULES)

Cites Work

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• On modules over the Hecke algebra of a p-adic group
• On a theorem of Pittie
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Affine Hecke Algebras and Their Graded Version
• Representations modulo p of the p-adic group GL(2, F)
• The combinatorics of Bernstein functions
• Hecke Algebras with Unequal Parameters

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