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math.DGJan 11, 1999
35
citations (OpenAlex)
authors
  • Izu Vaisman
arXiv abstractPDF
paper

A Survey on Nambu-Poisson Brackets

arXiv:math/9901047

Abstract

The paper provides a survey of known results on geometric aspects related to Nambu-Poisson brackets.

LaTex, 34pages

References in corpus (4)

  • Deformation Quantization and Nambu Mechanics
  • New Generalized Poisson Structures
  • n-ary Lie and Associative Algebras
  • A Note on n-ary Poisson Brackets

Cited by in corpus (14)

  • n-ary algebras: a review with applications
  • M2 to D2 revisited
  • U-duality extension of Drinfel'd double
  • Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
  • Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
  • Classical and Quantal Ternary Algebras
  • Multi-operator brackets acting thrice
  • Duality and modular class of a Nambu-Poisson structure
  • Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
  • Alternating quaternary algebra structures on irreducible representations of sl(2,C)
  • First integrals generated by pseudosymmetries in Nambu-Poisson mechanics
  • Quantum Lichnerowicz - Poisson complex
  • Geometry of Membrane Sigma Models
  • Nambu system associated with n-dimensional maps
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