Second cohomology group and quadratic extensions of metric Hom-Jacobi-Jordan algebras

DOI10.12697/ACUTM.2023.27.19zbMATH Open1537.1705MaRDI QIDQ6542696

N. Saadaoui

Publication date: 22 May 2024

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

cohomologyquadratic extensionmetric-Hom-Jacobi-Jordan algebratwofold extension

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Finite-dimensional structures of Jordan algebras (17C55) Extensions of associative rings by ideals (16S70) (non-Lie) Hom algebras and topics (17D30)

Cites Work

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• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• Jacobi-Jordan algebras
• Special and exceptional mock-Lie algebras
• Representations of hom-Lie algebras
• On a type of commutative algebras
• Metric Lie algebras and quadratic extensions
• Bernstein algebras
• Jordan-Lie super algebra and Jordan-Lie triple system
• Metric Lie algebras with maximal isotropic centre
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-Lie algebra structures on semi-simple Lie algebras
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• On an algebraic generalization of the quantum mechanical formalism.
• On universal central extensions of Hom-Lie algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Algèbres de Lie et produit scalaire invariant

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