Publication details

Non-Decomposable Nambu Brackets

Authors

BERING LARSEN Klaus

Year of publication 2015
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Web
Doi http://dx.doi.org/10.5817/AM2015-4-211
Field Theoretical physics
Keywords Nambu bracket; Darboux Theorem; Moser trick; multisymplectic; presymplectic; Weinstein splitting principle.
Description 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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