Representations of Cartan type Lie algebras in characteristic \(p\).

DOI10.1016/S0021-8693(02)00035-2zbMath1047.17009OpenAlexW2026886940WikidataQ115340549 ScholiaQ115340549MaRDI QIDQ1858205

Bin Shu

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00035-2

zbMATH Keywords

Morita equivalencereduced universal enveloping algebrasimple modulegeneral linear Lie algebra\(p\)-charactergradingJacobson-Witt algebraregular semisimple \(p\)-character

Mathematics Subject Classification ID

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

Related Items

Varieties of Borel subalgebras for the Jacobson-Witt Lie algebras, Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras

Cites Work

• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
• Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• Representation theory of the Witt algebra
• Generalized restricted Lie algebras and representations of the Zassenhaus algebra
• The generalized restricted representations of graded Lie algebras of Cartan type
• Irreducible representations of Lie \(p\)-algebras
• Modular Representation Theory of Lie Algebras
• Projective modules over Lie algebras of Cartan type
• Induced Representations of Lie Algebras. II
• Simple generalized restricted modules for graded Lie algebras of Cartan type
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