On Filippov algebroids and multiplicative Nambu-Poisson structures
Differential Geometry
2014-11-18 v1 Mathematical Physics
math.MP
Abstract
We discuss relations between linear Nambu-Poisson structures and Filippov algebras and define Filippov algebroids which are n-ary generalizations of Lie algebroids. We also prove results describing multiplicative Nambu- Poisson structures on Lie groups. In particular, we show that simple Lie groups do not admit multiplicative Nambu-Poisson structures of order n>2.
Cite
@article{arxiv.math/9902127,
title = {On Filippov algebroids and multiplicative Nambu-Poisson structures},
author = {Janusz Grabowski and Giuseppe Marmo},
journal= {arXiv preprint arXiv:math/9902127},
year = {2014}
}
Comments
Latex, 22 pages, to appear in Diff. Geom. Appl