Weight 2 Blocks of General Linear Groups and Modular Alvis-Curtis Duality

DOI10.1093/imrn/rnm130zbMath1160.20040arXiv0705.1597OpenAlexW2048066172MaRDI QIDQ5443362

Sibylle Schroll, Kai Meng Tan

Publication date: 20 February 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1597

zbMATH Keywords

\(q\)-Schur algebrasblocksfinite general linear groupsmodular Alvis-Curtis duality

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

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Parallelotope tilings and \(q\)-decomposition numbers ⋮ James's conjecture holds for blocks of \(q\)-Schur algebras of weights 3 and 4

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