Tensor products of graded-simple $\mathfrak{sl}_2(\mathbb{C})$-modules

DOI10.55730/1300-0098.3222OpenAlexW4285224272MaRDI QIDQ5103877

Abdallah Shihadeh, Yu. A. Bakhturin

Publication date: 9 September 2022

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

Full work available at URL: https://doi.org/10.55730/1300-0098.3222

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

• 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
• On the tensor product of a finite and an infinite dimensional representation
• 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
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item
• Unnamed Item

This page was built for publication: Tensor products of graded-simple $\mathfrak{sl}_2(\mathbb{C})$-modules