Abstract
The theory of Nambu-Poisson structures on manifolds is extended to the context of Lie algebroids in a natural way based on the derived bracket associated with the Lie algebroid differential. A new way of combining Nambu-Poisson structures and triangular Lie bialgebroids is described in this work. Also, we introduce the concept of a higher order Dirac structure on a Lie algebroid. This allows to describe both Nambu-Poisson structures and Dirac structures on manifolds in the same setting.
Original language | English (US) |
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Pages (from-to) | 85-99 |
Number of pages | 15 |
Journal | Letters in Mathematical Physics |
Volume | 61 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1 2002 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics