Bounded weight modules for basic classical Lie superalgebras at infinity

DOI10.1007/S40879-023-00720-2arXiv2205.07138MaRDI QIDQ6145005

Dimitar Grantcharov, I. B. Penkov, Vera V. Serganova

Publication date: 30 January 2024

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

Full work available at URL: https://arxiv.org/abs/2205.07138

zbMATH Keywords

annihilatorweight moduleClifford superalgebraWeyl superalgebradirect limit Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On bounded generalized Harish-Chandra modules
• A Koszul category of representations of finitary Lie algebras
• Modules with bounded weight multiplicities for simple Lie algebras
• Classification of irreducible weight modules
• Integrable bounded weight modules of classical Lie superalgebras at infinity
• Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \)
• STABILITY PATTERNS IN REPRESENTATION THEORY
• Tensor Representations of Classical Locally Finite Lie Algebras
• Categories of integrable $sl(\infty)$-, $o(\infty)$-, $sp(\infty)$-modules
• Chevalley supergroups
• Weight modules over infinite dimensional Weyl algebras
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• Classical Lie Algebras at Infinity
• On the structure of simple bounded weight modules of sl(∞),o(∞),sp(∞)
• Classical Lie superalgebras at infinity
• Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras

This page was built for publication: Bounded weight modules for basic classical Lie superalgebras at infinity