Dualities and derived equivalences for category \(\mathcal{O}\)

DOI10.1007/s11856-017-1494-yzbMath1419.17012arXiv1506.08590OpenAlexW2612089579MaRDI QIDQ2627991

Kevin Coulembier, Volodymyr Mazorchuk

Publication date: 9 June 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08590

zbMATH Keywords

blocksRingel dualsparabolic versions of BGG category

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Derived categories and associative algebras (16E35)

Related Items (12)

Essential orders on stratified algebras with duality and \(\mathcal{S}\)-subcategories in \(\mathcal{O}\) ⋮ Parabolic projective functors in type \(A\) ⋮ THE -CENTRE AND GRADABLE DERIVED EQUIVALENCES ⋮ Ringel duality and Auslander-Dlab-Ringel algebras ⋮ A note on parabolic Verma module homomorphisms over Kac-Moody algebras ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ On minimal tilting complexes in highest weight categories ⋮ Unnamed Item ⋮ Whittaker coinvariants for \(\mathrm{GL}(m|n)\) ⋮ Ringel duality for certain strongly quasi-hereditary algebras ⋮ Projective modules over classical Lie algebras of infinite rank in the parabolic category ⋮ Tilting modules for classical Lie superalgebras

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