Graded torsion-free 𝔰𝔩2(ℂ)-modules of rank 2

DOI10.1142/S0219498822502292MaRDI QIDQ5039772

Abdallah Shihadeh, Yu. A. Bakhturin

Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01379

zbMATH Keywords

graded Lie algebrassimple modulesgraded modulesenveloping algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Construction of simple non-weight \(\mathfrak{sl}(2)\)-modules of arbitrary rank
• Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Graded modules over classical simple Lie algebras with a grading
• Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
• Graded modules over simple Lie algebras
• Casimir Elements for Some Graded Lie Algebras and Superalgebras
• Graded simple modules and loop modules

This page was built for publication: Graded torsion-free 𝔰𝔩2(ℂ)-modules of rank 2