Affine category \(\mathcal{O}\), Koszul duality and Zuckerman functors

DOI10.1016/j.aim.2021.107921zbMath1497.17011arXiv2007.11267OpenAlexW3188947590MaRDI QIDQ822712

Ruslan Maksimau

Publication date: 23 September 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11267

zbMATH Keywords

Koszul dualitycategory OZuckerman functor

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• Quiver Schur algebras and Koszul duality.
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• On the category \(\mathcal O\) for rational Cherednik algebras.
• Categorical representations and KLR algebras
• Annihilating ideals and tilting functors
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• Parabolic induction and restriction functors for rational Cherednik algebras.
• A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra (with an appendix by Catharina Stroppel).
• Quadratic duals, Koszul dual functors, and applications
• Koszul duality of translation--and Zuckerman functors
• Tilting modules and the p-canonical basis
• Koszul Duality Patterns in Representation Theory
• Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

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