Isogenies of Hecke algebras and a Langlands correspondence for ramified principal series representations

DOI10.1090/S1088-4165-02-00167-XzbMath0999.22021MaRDI QIDQ4547424

Mark Reeder

Publication date: 21 August 2002

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

zbMATH Keywords

\(p\)-adic groupsLanglands correspondenceprincipal series

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

A uniform classification of discrete series representations of affine Hecke algebras ⋮ Geometric structure in the principal series of the 𝑝-adic group 𝐺₂ ⋮ On the classification of irreducible representations of affine Hecke algebras with unequal parameters ⋮ On the reducibility of induced representations for classical \(p\)-adic groups and related affine Hecke algebras ⋮ Coherent Springer theory and the categorical Deligne-Langlands correspondence ⋮ Whittaker functions and Demazure operators ⋮ Geometric structure in smooth dual and local Langlands conjecture ⋮ Affine Hecke algebras and their representations ⋮ Canonical bases and affine Hecke algebras of type \(D\). ⋮ Principal series component of Gelfand-Graev representation ⋮ Finite-dimensional representations of DAHA and affine Springer fibers: the spherical case. ⋮ Langlands parameters, functoriality and Hecke algebras ⋮ Almost unramified discrete spectrum for split groups over \(\mathbb{F}_q(t)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Polynomial functors and wreath products
• Torsion in reductive groups
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Tamely ramified intertwining algebras
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Homology of the Zero-Set of a Nilpotent Vector Field on a Flag Manifold
• Ratios of Dual Generic Degrees of a Finite Coxeter Group
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups.
• Nonstandard intertwining operators and the structure of unramified principal series representations
• Types and Hecke algebras for principal series representations of split reductive p-adic groups
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P