Loewy Series of Modules for the First Frobenius Kernel in a Reductive Algebraic Group

DOI10.1112/plms/s3-59.1.74zbMath0681.20029OpenAlexW2016248894MaRDI QIDQ4729972

Masaharu Kaneda, Henning Haahr Andersen

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1112/plms/s3-59.1.74

zbMATH Keywords

socle seriesWeyl groupLoewy layersinduced modulescharacter groupCoxeter numberBorel subgroupmaximal torusLusztig's conjecturerigid modulesLoewy seriesradical seriesconnected, simply connected, almost simple algebraic groupkernel of the Frobenius endomorphismp-regular character

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

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