Nambu–Poisson bracket on superspace

DOI10.1142/S0219887818501906zbMath1431.70012arXiv1808.03072MaRDI QIDQ4615073

Viktor Abramov

Publication date: 1 February 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03072

zbMATH Keywords

Poisson bracketsupermanifoldHamiltonian mechanicsNambu mechanicsNambu-Poisson bracketFilippov-Jacobi identity

Mathematics Subject Classification ID

Poisson algebras (17B63) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Analysis on supermanifolds or graded manifolds (58C50) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• Unnamed Item
• \(n\)-Lie algebras
• On foundation of the generalized Nambu mechanics
• Super 3-Lie algebras induced by super Lie algebras
• Matrix 3-Lie superalgebras and BRST supersymmetry
• Generalized Hamiltonian Dynamics
• Notes on the Super Nambu Bracket

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