On Solvability and Nilpotency of Leibnizn-Algebras

DOI10.1080/00927870600636423zbMath1127.17003OpenAlexW2087431795MaRDI QIDQ5489255

Emzar Khmaladze, José Manuel Casas Mirás, Manuel Ladra Gonzalez

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600636423

zbMATH Keywords

nilpotentLeibniz \(n\)-algebrasolvable

Mathematics Subject Classification ID

Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (6)

3-Lie∞-algebras and 3-Lie 2-algebras ⋮ ON NILPOTENT LEIBNIZ n-ALGEBRAS ⋮ Higher Hopf formula for homology of Leibniz \(n\)-algebras ⋮ Crossed modules for Leibniz n-algebras ⋮ On Lie-central extensions of Leibniz algebras ⋮ Some necessary and sufficient conditions for nilpotent n-Lie superalgebras

Cites Work

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• Leibniz and Lie algebra structures for Nambu algebra
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Nilpotent ideals in Lie and anti-Lie triple systems
• Leibniz n-algebras
• Generalized Hamiltonian Dynamics
• Homology with Trivial Coefficients of Leibnizn-Algebras
• Introduction to Lie Algebras and Representation Theory

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