On the uniqueness of embeddings of Verma modules defined by the Shapovalov elements

DOI10.1016/0021-8693(88)90049-XzbMath0661.17024OpenAlexW2090074384MaRDI QIDQ1112952

Jong-Min Ku

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90049-x

zbMATH Keywords

embeddingCoxeter grouphighest weightVerma modulesymmetrizable Kac-Moody Lie algebraShapovalov element

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

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• Moduln mit einem höchsten Gewicht
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• On defining relations of certain infinite-dimensional Lie algebras
• The Jantzen Filtration of a Certain Class of Verma Modules
• Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas

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