Local submodules and the multiplicity of irreducible subquotients in category \({\mathcal O}\)

DOI10.1016/0021-8693(87)90004-4zbMath0611.17003OpenAlexW2072731620MaRDI QIDQ1087625

Jong-Min Ku

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90004-4

zbMATH Keywords

multiplicityKac-Moody Lie algebraVerma modulecomposition seriescategory \({\mathcal O}\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Relative version of Weyl-Kac character formula ⋮ A note on some structure theorems of modules in category 0

Cites Work

• Unnamed Item
• Moduln mit einem höchsten Gewicht
• Structure of some categories of representations of infinite-dimensional Lie algebras

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