On decomposition numbers and Alvis–Curtis duality

DOI10.1017/S0305004107000667zbMath1133.20007arXiv0709.3223OpenAlexW2952572199MaRDI QIDQ5434680

Sibylle Schroll, Bernd Ackermann

Publication date: 7 January 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3223

zbMATH Keywords

Hecke algebrasSpecht modulesderived equivalences\(q\)-Schur algebrasdecomposition numberscostandard modulesAlvis-Curtis duality

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (1)

L’involution de Zelevinski modulo ℓ

Cites Work

• Rouquier blocks.
• The blocks of finite general linear and unitary groups
• A two-sided \(q\)-analogue of the Coxeter complex.
• The Characters of the Finite General Linear Groups
• The q ‐Schur Algebra
• On the Decomposition Numbers of the Finite General Linear Groups. II
• Representations of Hecke Algebras of General Linear Groups
• The Irreducible Representations of the Finite General Linear Groups
• Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Derived Equivalences As Derived Functors
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