On the relevance of some constructions of highest weight modules over (super-) Kac-Moody algebras (In connection with a paper by Wakimoto)

DOI10.1007/BF01239016zbMath0645.17012MaRDI QIDQ1103039

Vladimir K. Dobrev

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Kac-Moody algebrashighest weight modulesirreducibilityKac-Moody Lie (super)algebra

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)

Related Items (1)

New Weyl groups for \(A_ 1^{(1)}\) and characters of singular highest weight modules

Cites Work

• Infinite dimensional Lie algebras. An introduction
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Singular vectors in Verma modules over Kac-Moody algebras
• Structure of representations generated by vectors of highest weight
• Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas
• Lie superalgebras
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