The Gelfand–Graev representation of classical groups in terms of Hecke algebras

DOI10.4153/s0008414x2200030xarXiv2011.02456OpenAlexW4283365195MaRDI QIDQ6165482

Petar Bakić, Gordan Savin

Publication date: 1 August 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02456

zbMATH Keywords

Hecke algebrasBernstein componentsGelfand-Graev representation

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicity one theorems
• Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups.
• A vanishing Ext-branching theorem for \((\mathrm{GL}_{n+1}(F),\mathrm{GL}_n(F)\)
• A construction method for induced types and its application to \(G_2\)
• Local Langlands correspondence for classical groups and affine Hecke algebras
• Iwahori component of the Gelfand-Graev representation
• Spherical pairs over close local fields
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Homological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability
• Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups
• Semisimple types for \(p\)-adic classical groups
• The supercuspidal representations of \(p\)-adic classical groups
• Smooth Representations of GLm(D) VI: Semisimple Types
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Affine Hecke Algebras and Their Graded Version
• Parametres de Langlands et Algebres D'Entrelacement
• On Certain L-Functions
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Reducibility of Induced Representations for SP(2N) and SO(N)
• Some results on the admissible representations of non-connected reductive p-adic groups
• Generalized Whittaker models and the Bernstein center
• Periods and harmonic analysis on spherical varieties
• Principal series component of Gelfand-Graev representation
• Bernstein–Zelevinsky Derivatives: a Hecke Algebra Approach

This page was built for publication: The Gelfand–Graev representation of classical groups in terms of Hecke algebras