Local Projective Resolutions and Translation Functors for KAC-Moody Algebras

DOI10.2307/2001050zbMath0644.17012OpenAlexW4250225611MaRDI QIDQ3786607

Wayne Neidhardt

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001050

zbMATH Keywords

Kac-Moody algebrasVerma modulestranslation functorslocal projective resolutionsmultiplicities of irreducible composition factors

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) Homological methods in Lie (super)algebras (17B55)

Cites Work

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• On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
• Moduln mit einem höchsten Gewicht
• Projective modules over graded Lie algebras. I
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Lie algebra homology and the Macdonald-Kac formulas
• A new class of Lie algebras
• A Translation Principle for Kac-Moody Algebras
• The BGG Resolution, Character and Denominator Formulas, and Related Results for Kac-Moody Algebras

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