Generalized Jacobi structures
Bueno, J. C. Perez
arXiv, 9707032 / Harvested from arXiv
Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group manifolds is also studied and non-trivial examples (different from those coming from generalized Poisson structures) of this new construction are found by using the cohomology ring of the given group.
Publié le : 1997-07-02
Classification:  High Energy Physics - Theory,  Mathematical Physics
@article{9707032,
     author = {Bueno, J. C. Perez},
     title = {Generalized Jacobi structures},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9707032}
}
Bueno, J. C. Perez. Generalized Jacobi structures. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9707032/