Kostant Modules in Blocks of Category 𝒪S
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Publication:3618544
DOI10.1080/00927870802243937zbMath1243.17003arXivmath/0604336OpenAlexW1588812565MaRDI QIDQ3618544
Publication date: 2 April 2009
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604336
minimal free resolutionparabolic category \(\mathcal O\)BGG resolutionHermitian symmetric pairkostant modulerationally smooth Schubert variety
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56)
Related Items (11)
Dirac cohomology of highest weight modules ⋮ Bernstein-Gelfand-Gelfand resolutions and the constructible \(t\)-structure ⋮ BGG complexes in singular infinitesimal character for type A ⋮ BGG complexes in singular blocks of category \(\mathcal{O}\) ⋮ Singular BGG complexes over isotropic 2-Grassmannian ⋮ Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity ⋮ Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians ⋮ Dirac cohomology, elliptic representations and endoscopy ⋮ On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras ⋮ Jantzen coefficients and simplicity of parabolic Verma modules ⋮ Leading weight vectors and homomorphisms between generalized Verma modules
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