Publication details
Non-Decomposable Nambu Brackets
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| Citation | |
| web | |
| Doi | https://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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