Koszul duality of translation--and Zuckerman functors

zbMath1107.17004arXiv0905.0407MaRDI QIDQ4472641

Steen Ryom-Hansen

Publication date: 1 July 2004

Full work available at URL: https://arxiv.org/abs/0905.0407

zbMATH Keywords

Koszul dualityZuckerman functor

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

Related Items (12)

Affine category \(\mathcal{O}\), Koszul duality and Zuckerman functors ⋮ A Lie theoretic categorification of the coloured Jones polynomial ⋮ Dualities and derived equivalences for category \(\mathcal{O}\) ⋮ Categorified skew Howe duality and comparison of knot homologies ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Categorifying fractional Euler characteristics, Jones-Wenzl projectors and \(3j\)-symbols ⋮ Some homological properties of the category 𝒪, II ⋮ Knot invariants and higher representation theory ⋮ Categorification of (induced) cell modules and the rough structure of generalised Verma modules ⋮ Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras ⋮ Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors ⋮ Quadratic duals, Koszul dual functors, and applications

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