On strong \(n\)-Lie-Poisson algebras

DOI10.1016/j.jpaa.2004.12.036zbMath1070.17002OpenAlexW1972915987WikidataQ115345632 ScholiaQ115345632MaRDI QIDQ557061

Mikołaj Rotkiewicz

Publication date: 23 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.036

zbMATH Keywords

Lie algebrasPoisson algebrasstrong \(n\)-Lie Poisson algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63)

Related Items (3)

Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮ On a class of n-Leibniz deformations of the simple Filippov algebras ⋮ Augmented \(n\)-ary maps and their applications to graded \(n\)-ary algebraic structures

Cites Work

• Leibniz and Lie algebra structures for Nambu algebra
• The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds
• Varieties of anticommutative \(n\)-ary algebras
• Generalized Hamiltonian Dynamics
• Remarks on Nambu-Poisson and Nambu-Jacobi brackets
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