Some homological properties of the category 𝒪, II

DOI10.1090/S1088-4165-10-00368-7zbMath1200.16013arXiv0909.2729MaRDI QIDQ3558898

Volodymyr Mazorchuk

Publication date: 11 May 2010

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2729

zbMATH Keywords

tilting modulesprojective dimensionderived categoriesVerma modulescategory \(\mathcal O\)Koszul moduleslinear complexesprojective functorsBernstein-Gelfand-Gelfand categories

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological methods in Lie (super)algebras (17B55) Homological dimension in associative algebras (16E10)

Related Items

Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\) ⋮ Dualities and derived equivalences for category \(\mathcal{O}\) ⋮ Intersecting principal Bruhat ideals and grades of simple modules ⋮ Parabolic projective functors in type \(A\) ⋮ The 2-braid group and Garside normal form ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Kostant's problem for Whittaker modules ⋮ On first extensions in \(\mathcal{S}\)-subcategories of \(\mathcal{O}\) ⋮ Serre functors for Lie algebras and superalgebras ⋮ Some homological properties of category \(\mathcal{O}\). VI ⋮ Some homological properties of category \(\mathcal{O}\). III ⋮ Projective modules over classical Lie algebras of infinite rank in the parabolic category ⋮ SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS

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