ON THE COXETER COMPLEX AND ALVIS–CURTIS DUALITY FOR PRINCIPAL ℓ-BLOCKS OF GLn(q)

DOI10.1142/S0219498805001198zbMath1078.20014OpenAlexW2021362754MaRDI QIDQ3025343

Markus Linckelmann, Sibylle Schroll

Publication date: 13 July 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498805001198

zbMATH Keywords

Weyl groupsgeneral linear groupshomotopy equivalencesderived equivalencesfinite groups of Lie typeprincipal blocksCoxeter complexesAlvis-Curtis character duality

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of finite groups of Lie type (20C33)

Related Items (2)

Linear source invertible bimodules and Green correspondence ⋮ A two-sided \(q\)-analogue of the Coxeter complex.

Cites Work

• Pointed groups and construction of characters
• The blocks of finite general linear and unitary groups

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