On an infinite limit of BGG categories O

zbMath1479.17018arXiv1802.06343MaRDI QIDQ5112495

Kevin Coulembier, I. B. Penkov

Publication date: 29 May 2020

Full work available at URL: https://arxiv.org/abs/1802.06343

zbMATH Keywords

Verma moduleKoszul dualityBGG categoryRingel dualityquasi-hereditary algebraroot-reductive Lie algebraDynkin Borel subalgebraSerre subquotient category

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55) Quadratic and Koszul algebras (16S37)

Related Items (5)

The classification of blocks in BGG category \(\mathcal{O}\) ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \) ⋮ Integrable bounded weight modules of classical Lie superalgebras at infinity ⋮ Large annihilator category \(\mathcal{O}\) for \(\mathfrak{sl}(\infty), \mathfrak{o}(\infty), \mathfrak{sp}(\infty)\)

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