Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras

DOI10.3792/PJAA.69.27zbMath0822.17023OpenAlexW2005055780MaRDI QIDQ1312061

Satoshi Naito

Publication date: 9 October 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.27

zbMATH Keywords

generalized Kac-Moody algebrasBernstein-Gelfand-Gelfand resolution

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (1)

Kazhdan-Lusztig-type multiplicity formula for symmetrizable generalized Kac-Moody algebras

Cites Work

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• Extension of the category \({\mathcal O}^ g\) and a vanishing theorem for the Ext functor for Kac-Moody algebras
• Generalized Kac-Moody algebras
• Projective modules over graded Lie algebras. I
• Lie algebra homology and the Macdonald-Kac formulas
• Generalized Verma modules, loop space cohomology and MacDonald-type identities
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module

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