منابع مشابه
Non-antisymmetric versions of Nambu-Poisson and Lie algebroid brackets
We show that we can skip the skew-symmetry assumption in the definition of Nambu-Poisson brackets. In other words, a n-ary bracket on the algebra of smooth functions which satisfies the Leibniz rule and a n-ary version of the Jacobi identity must be skew-symmetric. A similar result holds for a non-antisymmetric version of Lie algebroids.
متن کاملBranes, Strings, and Odd Quantum Nambu Brackets
The dynamics of topological open branes is controlled by Nambu Brackets. Thus, they might be quantized through the consistent quantization of the underlying Nambu brackets, including odd ones: these are reachable systematically from even brackets, whose more tractable properties have been detailed before. The classical motion of topological open membranes is controlled by Nambu Brackets, the mu...
متن کاملA Survey on Nambu–Poisson Brackets
The paper provides a survey of known results on geometric aspects related to Nambu-Poisson brackets.
متن کامل. D G ] 2 3 Fe b 19 99 Remarks on Nambu - Poisson , and Nambu - Jacobi brackets
We show that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: an n-bracket, n > 2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we get an (n − 1)-Nambu-Poisson (resp. Nambu-Jacobi) bracket. As a by-product we get relatively simple proofs of Darboux-type theorems for these structures.
متن کاملBranes, Quantum Nambu Brackets, and the Hydrogen Atom
The Nambu Bracket quantization of the Hydrogen atom is worked out as an illustration of the general method. The dynamics of topological open branes is controlled classically by Nambu Brackets. Such branes then may be quantized through the consistent quantization of the underlying Nambu brackets: properly defined, the Quantum Nambu Brackets comprise an associative structure, although the naive d...
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ژورنال
عنوان ژورنال: Archivum Mathematicum
سال: 2015
ISSN: 0044-8753,1212-5059
DOI: 10.5817/am2015-4-211