Index of Hom-Lie algebras

DOI10.1007/978-3-031-32009-5_1MaRDI QIDQ6119317

Abdenacer Makhlouf, Hadjer Adimi

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

zbMATH Keywords

representationindexHom-Lie algebra

Mathematics Subject Classification ID

Hom-Lie and related algebras (17B61) (non-Lie) Hom algebras and topics (17D30)

Cites Work

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• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• Representations of hom-Lie algebras
• Semi-direct products of Lie algebras and their invariants
• Computing invariants and semi-invariants by means of Frobenius Lie algebras
• Frobenius Lie algebras
• On the index of certain Lie algebras.
• Deformations of Lie algebras using \(\sigma\)-derivations
• Reduction by stages and the Raïs-type formula for the index of a Lie algebra with an ideal
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Computing the index of Lie algebras
• On frobenius lie algebras
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Representations of Simple Hom-Lie algebras
• Index of graded filiform and quasi filiform Lie algebras
• Rota–Baxter Hom-Lie–Admissible Algebras
• Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations

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