Integrable sl(∞)‐modules and category O for gl(m|n)

DOI10.1112/jlms.12176zbMath1473.17060arXiv1712.00664OpenAlexW3106045724MaRDI QIDQ5376510

Crystal Hoyt, Vera V. Serganova, I. B. Penkov

Publication date: 10 May 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00664

zbMATH Keywords

tensor modulescategories of integrable modules

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)

Related Items (4)

The Duflo-Serganova functor, vingt ans après ⋮ Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \) ⋮ Jacobson-Morozov lemma for algebraic supergroups ⋮ Tensor product of the Fock representation with its dual and the Deligne category

Cites Work

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• Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup
• A Koszul category of representations of finitary Lie algebras
• Ordered tensor categories and representations of the Mackey Lie algebra of infinite matrices
• Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor
• Representation categories of Mackey Lie algebras as universal monoidal categories
• The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
• A categorification of the boson-fermion correspondence via representation theory of \(sl(\infty)\)
• STABILITY PATTERNS IN REPRESENTATION THEORY
• Tensor Representations of Classical Locally Finite Lie Algebras
• Categories of integrable $sl(\infty)$-, $o(\infty)$-, $sp(\infty)$-modules
• Tensor Product Categorifications and the Super Kazhdan–Lusztig Conjecture
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Homological invariants in category $\mathcal {O}$ for the general linear superalgebra
• Representations of Lie superalgebras

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