Informace o publikaci
Non-Decomposable Nambu Brackets
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Rok publikování | 2015 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Archivum Mathematicum |
Fakulta / Pracoviště MU | |
Citace | |
www | |
Doi | http://dx.doi.org/10.5817/AM2015-4-211 |
Obor | Teoretická fyzika |
Klíčová slova | Nambu bracket; Darboux Theorem; Moser trick; multisymplectic; presymplectic; Weinstein splitting principle. |
Popis | 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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