The BGG Resolution, Character and Denominator Formulas, and Related Results for Kac-Moody Algebras

DOI10.2307/2000534zbMath0614.17011OpenAlexW4235769948MaRDI QIDQ4722237

Wayne Neidhardt

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000534

zbMATH Keywords

Kac-Moody Lie algebrahighest weightVerma moduleBGG-resolutionWeyl character formuladenominator formulas

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) Graded Lie (super)algebras (17B70)

Related Items

Verma module imbeddings and the Bruhat order for Kac-Moody algebras ⋮ The first cohomology of a Kac-Moody algebra with coefficients in an integrable category \(\mathcal O\) module ⋮ Local Projective Resolutions and Translation Functors for KAC-Moody Algebras

Cites Work

• Structure of representations with highest weight of infinite-dimensional Lie algebras
• 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
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