Non-Decomposable Nambu Brackets

Details Non-Decomposable Nambu Brackets Non-Decomposable Nambu Brackets

2011-03-24

arxiv.org/abs/1103.4867v1

Physics

Mathematical Physics

21 pages, LaTeX

Scientific paper

It is well-known that the Fundamental Identity (FI) implies that Nambu
brackets are decomposable, i.e., given by a determinantal formula. We find a
weaker alternative to the FI that allows for non-decomposable Nambu brackets,
but still yields a Darboux-like Theorem via a Nambu-type generalization of
Weinstein's splitting principle for Poisson manifolds.

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