On Filippov algebroids and multiplicative Nambu-Poisson structures

Details On Filippov algebroids and multiplicative Nambu-Poisson structures On Filippov algebroids and multiplicative Nambu-Poisson structures

1999-02-23

arxiv.org/abs/math/9902127v1

Mathematics

Differential Geometry

Latex, 22 pages, to appear in Diff. Geom. Appl

Scientific paper

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.

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