Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids

Details Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids

2009-10-07

arxiv.org/abs/0910.1243v5

Rept.Math.Phys.66:251-276,2010

Physics

Mathematical Physics

28 pages. Completely rewritten and improved. Typos corrected. A version is to appear in Reports on Mathematical Physics, Vol.6

Scientific paper

10.1016/S0034-4877(10)80030-8

We show how to extend the construction of Tulczyjew triples to Lie algebroids
via graded manifolds. We also provide a generalisation of triangular Lie
bialgebroids as higher Poisson and Schouten structures on Lie algebroids.

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