Modular Harish-Chandra theory. I

DOI10.1007/BF02571417zbMath0798.20034MaRDI QIDQ1204281

Richard Dipper, Peter Fleischmann

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174430

zbMATH Keywords

Frobenius morphismdecomposition numbersinduced moduleendomorphism algebrafinite group of Lie typeconnected, reductive algebraic groupcuspidal modulesDeligne-Lusztig operatorGelfand- Graev representationHowlett-Lehrer basisregular cuspidal characterssplit \(\ell\)-modular systemsplit \(BN\)-pair

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (9)

L’involution de Zelevinski modulo ℓ ⋮ Morita equivalence for blocks of finite general linear groups ⋮ Generic and \(q\)-rational representation theory ⋮ Equivalent blocks of finite general linear groups in non-describing characteristic. ⋮ On the Mackey formulas for cyclotomic Hecke algebras and categories \(\mathcal{O}\) of rational Cherednik algebras ⋮ On quotients of Hom-functors and representations of finite general linear groups. II ⋮ The irreducible Brauer characters of the finite special linear groups in non-describing characteristics ⋮ Imprimitive irreducible modules for finite quasisimple groups ⋮ Modular Harish-Chandra theory. II

Cites Work

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• The q ‐Schur Algebra
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• On the Decomposition Numbers of the Finite General Linear Groups. II
• Representations of Hecke Algebras of General Linear Groups
• Regular and Semisimple Blocks of Finite Reductive Groups
• q-Tensor Space and q-Weyl Modules
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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