Turning weight multiplicities into Brauer characters

DOI10.1016/j.jalgebra.2019.04.035zbMath1462.20007arXiv1809.07647OpenAlexW2963323372WikidataQ127859882 ScholiaQ127859882MaRDI QIDQ2182362

Frank Lübeck

Publication date: 23 May 2020

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

Full work available at URL: https://arxiv.org/abs/1809.07647

zbMATH Keywords

groups of Lie typeweight multiplicitiesdefining characteristicBrauer character tablemodular atlas

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (5)

On Donkin’s tilting module conjecture I: lowering the prime ⋮ Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups ⋮ Matrices of simple spectrum in irreducible representations of cyclic extensions of simple algebraic groups ⋮ On tensoring with the Steinberg representation ⋮ Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights

Uses Software

• GAP
• Magma
• CHEVIE
• GAP Character Table Library
• CTblLib
• AtlasRep
• ATLAS Group Representations

Cites Work

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• The Magma algebra system. I: The user language
• CHEVIE -- A system for computing and processing generic character tables
• On defining characteristic representations of finite reductive groups.
• Representations of algebraic groups of type \(F_ 4\) in characteristic 2
• Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
• Characters and Brauer trees of the covering group of ²𝐸₆(2)
• Endomorphisms of linear algebraic groups
• Linear algebraic groups.

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