On the isomorphism of non-abelian extensions of \(n\)-Lie algebras

DOI10.1016/j.geomphys.2021.104427zbMath1504.17003OpenAlexW3215627352MaRDI QIDQ2071017

Okba Basdouri, Maha Afi

Publication date: 25 January 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104427

zbMATH Keywords

gauge equivalenceisomorphism classes\(n\)-Lie algebra

Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42)

Cites Work

• Non-abelian cohomology of extensions of Lie algebras as Deligne groupoid
• On foundation of the generalized Nambu mechanics
• A new approach to representations of 3-Lie algebras and abelian extensions
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Constructing (n+ 1)-Lie algebras fromn-Lie algebras
• Deformations of 3-algebras
• Generalized Hamiltonian Dynamics
• Realizations of 3-Lie algebras
• On Deformations of n-Lie Algebras
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