On the involution module of \(\mathrm{GL}_n(2^f)\).

DOI10.1016/j.jalgebra.2013.08.013zbMath1307.20012OpenAlexW111450076MaRDI QIDQ405915

Lars Pforte

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.08.013

zbMATH Keywords

general linear groupspermutation modulesverticesGreen correspondenceindecomposable summandsinvolution modules

Mathematics Subject Classification ID

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)

Related Items (2)

A Technique for the Search for Vertices of the Components of akG-Permutation Module ⋮ The involution module of \(\mathrm{PSU}_3(2^{2f})\).

Cites Work

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• Projective modules and involutions.
• Strongly real 2-blocks and the Frobenius-Schur indicator.
• On the involution module of SL₂(2^ƒ)
• Representations of Algebraic Groups
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• Restrictions of Modules to Local Subgroups
• Components of the involution module in blocks with cyclic or Klein-four defect group

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