Duality for representations of a reductive group over a finite field. II

DOI10.1016/0021-8693(83)90202-8zbMath0535.20020OpenAlexW2035423620MaRDI QIDQ790937

George Lusztig, Pierre Deligne

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90202-8

zbMATH Keywords

parabolic subgroupsrational pointsunipotent radicalsLevi subgroupsorthogonality relationsvirtual representationsconnected reductive groupduality operationtwisted induction

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items (15)

Foncteurs de Lusztig et caractères des groupes linéaires et unitaires sur un corps fini. (Lusztig functors and characters of linear and unitary groups over a finite field) ⋮ Koszul duality for operads ⋮ Alperin weight conjecture and related developments ⋮ Duality for classical 𝑝-adic groups: The half-integral case ⋮ Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani ⋮ Alvis-Curtis duality for representations of reductive groups with Frobenius maps ⋮ Brauer trees of unipotent blocks ⋮ Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke ⋮ Mackey formula for bisets over groupoids ⋮ On the Mackey formula for connected centre groups ⋮ Tensoring generalized characters with the Steinberg character ⋮ A unipotent support for irreducible representations ⋮ Computational proof of the Mackey formula for \(q>2\). ⋮ Mackey formula for large \(q\) ⋮ Deligne-Lusztig induction for invariant functions on finite Lie algebras of Chevalley's type.

Cites Work

• Duality for representations of a reductive group over a finite field
• Representations of reductive groups over finite fields
• On the finiteness of the number of unipotent classes

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