Simple facts concerning Nambu algebras

DOI10.1007/S002200050396zbMath0931.37031OpenAlexW1970100386MaRDI QIDQ1290550

Philippe Gautheron

Publication date: 27 February 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050396

zbMATH Keywords

Jacobi identityadjoint mapgeneralized Poisson bracketsNambu bracketsGerstenhaber deformation\(n\)-bracketNambu-Lie algebras

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Cohomology of Lie (super)algebras (17B56) Geometric quantization (53D50)

Related Items (10)

Classification of (n + 2)-Dimensional Metric n-Lie Algebras ⋮ Multiplicative Nambu structures on Lie groupoids ⋮ Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Generalization of n-ary Nambu algebras and beyond ⋮ Cohomologies and deformations of Lie triple systems with derivations ⋮ On \(n\)-Hom-Leibniz algebras and cohomology ⋮ On Deformations of n-Lie Algebras ⋮ Alternating quaternary algebra structures on irreducible representations of \(\mathfrak{sl}_2(\mathbb C)\) ⋮ The decomposition of metric n-Lie algebras and the uniqueness ⋮ Classification of (n+3)-dimensional metric n-Lie algebras

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