Cohomologies and generalized derivations of \(n\)-Lie algebras

MaRDI QIDQ6120501

Begüm Ateşli, Oğul Esen, Serkan Sütlü

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2022/28-72.html

zbMATH Keywords

generalized derivation\(n\)-Lie algebraLeibniz algebra

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Ternary compositions (17A40) Other (n)-ary compositions ((n ge 3)) (17A42)

Cites Work

• Unnamed Item
• Leibniz and Lie algebra structures for Nambu algebra
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures
• Some remarks concerning Nambu mechanics
• On Leibniz cohomology
• Cohomologies, deformations and extensions of \(n\)-Hom-Lie algebras
• Cohomology of Lie algebras
• Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
• Representations of Vector Productn-Lie Algebras
• Generalized Hamiltonian Dynamics
• Leibniz algebras as non-associative algebras
• Cohomology of Group Extensions

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