On the Decomposition Numbers of the Finite General Linear Groups. II

DOI10.2307/2000173zbMath0579.20008OpenAlexW4238724242MaRDI QIDQ3701614

Richard Dipper

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000173

zbMATH Keywords

irreducible charactersBrauer charactersdecomposition numbersmodular Hecke algebrasdecomposition matrixr-blocks

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (19)

Identification of the irreducible modular representations of \(GL_n(q)\). ⋮ Alperin weight conjecture and related developments ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\) ⋮ On the prime graph question for integral group rings of 4-primary groups I ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ On quotients of Hom-functors and representations of finite general linear groups. I ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ On the decomposition numbers of the finite unitary groups in non-defining characteristic ⋮ Representations of Hecke algebras of type \(B_n\) ⋮ Stable basic sets for finite special linear and unitary groups ⋮ Representations of finite special linear groups in non-defining characteristic. ⋮ Modular Harish-Chandra theory. I ⋮ On decomposition numbers and Alvis–Curtis duality ⋮ TAME BLOCK ALGEBRAS OF HECKE ALGEBRAS OF CLASSICAL TYPE ⋮ On quotients of Hom-functors and representations of finite general linear groups. II ⋮ Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case ⋮ Supercuspidal representations of \(\mathrm{GL}_n(\mathrm{F})\) distinguished by a Galois involution ⋮ The irreducible Brauer characters of the finite special linear groups in non-describing characteristics ⋮ Local Jacquet-Langlands corespondence and congruences modulo \(\ell\)

Cites Work

• Unnamed Item
• Representations of finite Chevalley groups. A survey
• Induced cuspidal representations and generalised Hecke rings
• Unipotent representations of the finite general linear groups
• The representation theory of the symmetric groups
• The blocks of finite general linear and unitary groups
• The Characters of the Finite General Linear Groups
• On the Decomposition Numbers of the Finite General Linear Groups
• Representations of Hecke Algebras of General Linear Groups

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