A Construction of Modular Representations of Classical Lie Algebras

DOI10.2307/2161030zbMath0856.17021OpenAlexW4232242696MaRDI QIDQ4313330

Zhiyong Shi, Karl M. Peters

Publication date: 16 November 1994

Full work available at URL: https://doi.org/10.2307/2161030

zbMATH Keywords

charactersirreducible representationsindecomposable representationsmodular Lie algebrasirreducible nonrestricted representationsmodular Weyl algebrapointed torsion free representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Modular Lie (super)algebras (17B50)

Related Items (2)

Modular representations of Lie algebras of reductive groups and Humphreys' conjecture ⋮ Modular representations of simple Lie algebras

Cites Work

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• On the construction of simple Lie algebras
• Classification of pointed weak torsion free representations for classical Lie algebras
• Induction, deformation, and specialization of Lie algebra representations
• Deformations of Lie Algebra Representations
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
• Modular Representation Theory of Lie Algebras
• Irreducible Representations of A n with a 1-Dimensional Weight Space
• Characters of modular torsion free representations of classical lie algebras
• Simple A₂-modules with a finite dimensional weight space
• The Representations of Lie Algebras of Prime Characteristic

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