The structure of certain highest weight modules for \(SL_ 3\)

DOI10.1016/0021-8693(86)90037-2zbMath0598.20052OpenAlexW2079372872MaRDI QIDQ1079664

Ronald S. Irving

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90037-2

zbMATH Keywords

Weyl modulesrestricted enveloping algebraalcoveuniversal highest weight modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Universal enveloping (super)algebras (17B35)

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Filtration patterns for representations of algebraic groups and their Frobenius kernels ⋮ Good \(l\)-filtrations for \(q\)-\(\mathrm{GL}_3(k)\) ⋮ Singular blocks of restricted \(\mathfrak{sl}_3\) ⋮ A positive characteristic resolution problem for \(\text{SL}(3,k)\) ⋮ The global dimension of Schur algebras for \(\text{GL}_2\) and \(\text{GL}_3\) ⋮ The Loewy series of principal indecomposable modules in the regular nilpotent representations of 𝔰𝔩(3,k) ⋮ Description of Costandard Modules of Schur SuperalgebraS(3 | 1) ⋮ Maximal and primitive elements in Weyl modules for type \(A_2\)

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