The submodule structure of Weyl modules for \(SL_ 3\)

DOI10.1016/0021-8693(85)90040-7zbMath0573.20043OpenAlexW1993886548MaRDI QIDQ1063117

Stephen R. Doty, John Brendan Sullivan

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90040-7

zbMATH Keywords

socle serieshighest weightline bundleirreducible modulesBorel subgrouplattice of submodulesmaximal torusdual Weyl moduledominant charactersemi-simple, simply connected algebraic groupsheaf cohomology module

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items

The structure of certain highest weight modules for \(SL_ 3\) ⋮ On the structure of the higher cohomology modules of line bundles on G/B ⋮ A positive characteristic resolution problem for \(\text{SL}(3,k)\) ⋮ Translation cokernels of rational modules ⋮ On the second socle level of induced modules for algebraic groups ⋮ Description of Costandard Modules of Schur SuperalgebraS(3 | 1) ⋮ Maximal and primitive elements in Weyl modules for type \(A_2\)

Cites Work

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• On the structure of the cohomology of line bundles on G/B
• Rational and generic cohomology
• Support Varieties of Weyl Modules
• Representations of Chevalley Groups in Characteristic p
• On the structure of Weyl modules