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hep-thNov 1, 2008
2
citations (OpenAlex)
authors
  • Dmitrij V. Soroka
  • Vyacheslav A. Soroka
arXiv abstractPDF
paper

Nambu-like odd brackets on supermanifolds

arXiv:0811.3074

Abstract

The Grassmann-odd Nambu-like brackets corresponding to an arbitrary Lie superalgebra and realized on the supermanifolds are proposed.

9 pages, LaTeX, JHEP3 format. Correction of misprints

References in corpus (10)

  • On Foundation of the Generalized Nambu Mechanics
  • The Geometry of the Master Equation and Topological Quantum Field Theory
  • Introduction to sh Lie algebras for physicists
  • New Generalized Poisson Structures
  • The Z_2-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures
  • Linear Odd Poisson Bracket on Grassmann Variables
  • Degenerate Odd Poisson Bracket on Grassmann Variables
  • Notes on the Super Nambu Bracket
  • Odd Nambu bracket on Grassmann algebra
  • Nambu-like odd bracket on Grassmann algebra

Cited by in corpus (2)

  • n-ary algebras: a review with applications
  • Super w∞​ 3-algebra
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