Applications of the category of linear complexes of tilting modules associated with the category \(\mathcal O\)

DOI10.1007/s10468-008-9108-3zbMath1234.17006arXivmath/0501220OpenAlexW2115917311MaRDI QIDQ843973

Volodymyr Mazorchuk

Publication date: 18 January 2010

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501220

zbMATH Keywords

Koszul dualitytilting modulelinear complexesCategory \(\mathcal {O}\)Kazhdan-Lusztig Theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\), Dualities and derived equivalences for category \(\mathcal{O}\), Parabolic projective functors in type \(A\), The 2-braid group and Garside normal form, Koszul duality for stratified algebras. I: Balanced quasi-hereditary algebras., The primitive spectrum for \(\mathfrak{gl}(m|n)\), Some homological properties of category \(\mathcal{O}\). IV, Cohomology in singular blocks of parabolic category, Unnamed Item, BGG complexes in singular blocks of category \(\mathcal{O}\), Categorification of the Catalan monoid., Some homological properties of category \(\mathcal{O}\). VI, Some homological properties of the category 𝒪, II, Quadratic duals, Koszul dual functors, and applications, Quiver Schur algebras for linear quivers

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