Non-Decomposable Nambu Brackets
Mathematical Physics
2012-08-02 v2 math.MP
Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.1103.4867,
title = {Non-Decomposable Nambu Brackets},
author = {Klaus Bering},
journal= {arXiv preprint arXiv:1103.4867},
year = {2012}
}
Comments
21 pages, LaTeX. v2: Changed grant number