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On Filippov algebroids and multiplicative Nambu-Poisson structures

Janusz Grabowski·Giuseppe Marmo
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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.

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Janusz Grabowski, Giuseppe Marmo. 1999-02-23. On Filippov algebroids and multiplicative Nambu-Poisson structures. https://arxiv.org/abs/math/9902127

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