Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field

DOI10.1007/BF01389363zbMath0495.22004WikidataQ115393626 ScholiaQ115393626MaRDI QIDQ1169570

Noriaki Kawanaka

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142962

zbMATH Keywords

Fourier transformdualitysimple algebraic grouporthogonality relationsAd(G)-invariant functions

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (17)

Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I ⋮ Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\) ⋮ Representations of finite Lie algebras ⋮ Whittaker vectors and associated varieties ⋮ Duality for classical 𝑝-adic groups: The half-integral case ⋮ Modular irreducibility of cuspidal unipotent characters ⋮ The space of invariant functions on a finite Lie algebra ⋮ Duality for representations of a reductive group over a finite field ⋮ GENERALIZED GELFAND–GRAEV REPRESENTATIONS IN SMALL CHARACTERISTICS ⋮ Geck's conjecture and the generalized Gelfand-Graev representations in bad characteristic ⋮ On \(\mathbb F_q\)-rational structure of nilpotent orbits in the Witt algebra ⋮ Bounding Harish-Chandra series ⋮ Local character expansions ⋮ Duality for Representations of a Hecke Algebra ⋮ A unipotent support for irreducible representations ⋮ Character sheaves on disconnected groups, VIII ⋮ Deligne-Lusztig induction for invariant functions on finite Lie algebras of Chevalley's type.

Cites Work

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• On Quotient Varieties and the Affine Embedding of Certain Homogeneous Spaces
• On the green polynomials of a chevalley group of type f₄
• Induced Unipotent Classes
• Endomorphisms of linear algebraic groups
• Eisenstein Series over Finite Fields
• The Marriage Problem

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