Realization of representations of the Hom-Lie algebra 𝔰𝔩 q (2, ℂ) of Jackson

DOI10.1080/00927872.2023.2226704MaRDI QIDQ6060323

Boujemaâ Agrebaoui, Unnamed Author

Publication date: 3 November 2023

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

representationsLie algebras\(q\)-deformationHom-Lie algebras\(\mathfrak{sl}_q (2, \mathbb{C})\) of Jackson\(q\)-modulesHom-representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Structure theory for Lie algebras and superalgebras (17B05) Hom-Lie and related algebras (17B61)

Cites Work

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• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• Representations of hom-Lie algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Representations of Simple Hom-Lie algebras
• Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations
• Introduction to Lie Algebras and Representation Theory

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