Singular blocks of the category \({\mathcal O}\)

DOI10.1007/BF02570868zbMath0715.17010MaRDI QIDQ752154

Ronald S. Irving

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/183765

zbMATH Keywords

blocksVerma modulesKazhdan-Lusztig polynomialscentral characterscomplex semisimple Lie algebraBernstein-Gelfand-Gelfand category

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Related Items (10)

The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Dirac cohomology of highest weight modules ⋮ Sur un problème de compatibilité local-global localement analytique ⋮ The Jantzen conjecture for singular characters ⋮ Super duality and Kazhdan-Lusztig polynomials ⋮ BGG complexes in singular blocks of category \(\mathcal{O}\) ⋮ Loewy Series of Certain Indecomposable Modules for Frobenius Subgroups ⋮ Kostant Modules in Blocks of Category 𝒪_S ⋮ Representation type of the blocks of category \(\mathcal O_s\)

Cites Work

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• A decomposition theorem for certain self-dual modules in the category \(\mathcal O\)
• Irreducible characters of semisimple Lie groups. II: The Kazhdan-Lusztig conjectures
• Moduln mit einem höchsten Gewicht
• Representations of Coxeter groups and Hecke algebras
• Graded characters of induced representations for real reductive Lie groups. I
• \(\mathfrak n\)-cohomology of simple highest weight modules on walls and purity
• The socle filtration of a Verma module
• Filtrations on Verma modules
• Filtrations on generalized Verma modules for Hermitian symmetric pairs.
• Towards the Kazhdan-Lusztig conjecture

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