Character formula of Kac-Wakimoto type for generalized Kac-Moody algebras

DOI10.1016/S0022-4049(01)00138-4zbMath1014.17022OpenAlexW2000067446MaRDI QIDQ5956873

Satoshi Naito

Publication date: 9 July 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00138-4

zbMATH Keywords

generalized Kac-Moody algebrascharacter formulairreducible highest weight modules

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 (2)

Weyl-Kac type character formula for admissible representations of Borcherds-Kac-Moody Lie superalgebras ⋮ Unnamed Item

Cites Work

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• Generalized Kac-Moody algebras
• Moduln mit einem höchsten Gewicht
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Structure of some categories of representations of infinite-dimensional Lie algebras
• On a character formula for symmetrizable Kac-Moody algebras
• Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case.
• ON THE HARISH-CHANDRA HOMOMORPHISM FOR GENERALIZED KAC-MOODY ALGEBRAS
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras

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