Duality for representations of a reductive group over a finite field

DOI10.1016/0021-8693(82)90023-0zbMath0482.20027OpenAlexW4252704382MaRDI QIDQ1162599

Pierre Deligne, George Lusztig

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90023-0

zbMATH Keywords

irreducible representationcomplexreductive group over finite fieldduality on charactersrepresentations of Weyl groupsign character

Mathematics Subject Classification ID

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

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Cites Work

• Truncation and duality in the character ring of a finite group of Lie type
• Induced cuspidal representations and generalised Hecke rings
• Fourier transforms of nilpotently supported invariant functions on a simple Lie algebra over a finite field
• The duality operation in the character ring of a finite Chevalley group