On the second socle level of induced modules for algebraic groups

DOI10.1016/0021-8693(89)90172-5zbMath0716.20020OpenAlexW1999602976MaRDI QIDQ752851

John Brendan Sullivan

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90172-5

zbMATH Keywords

weightscharacterBorel subgroupsimple, simply connected algebraic grouplowest \(p^ 2\)-alcovesocle levels of modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Cites Work

• Unnamed Item
• The submodule structure of Weyl modules for \(SL_ 3\)
• Jantzen's filtrations of Weyl modules
• Filtration patterns for representations of algebraic groups and their Frobenius kernels
• Cohomology, hyperalgebras, and representations
• Hecke algebras and Jantzen's generic decomposition patterns
• Extensions of Modules for Algebraic Groups
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• On the structure of Weyl modules

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