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

DOI10.1007/BF01453598zbMath0703.17016MaRDI QIDQ915845

Shrawan Kumar

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164660

zbMATH Keywords

Weyl groupKac-Moody algebrasCartan subalgebraVerma moduleBGG resolution

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)

Related Items (6)

The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras ⋮ On Weyl modules over affine Lie algebras in prime characteristic ⋮ Cohomologie des fibrés en droites sur les compactifications des groupes réductifs ⋮ A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras. ⋮ A pentagonal crystal, the golden section, alcove packing and aperiodic tilings ⋮ A Littelmann path model for crystals of generalized Kac-Moody algebras

Cites Work

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• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• Infinite flag varieties and conjugacy theorems
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