On Filippov Algebroids and Multiplicative Nambu–Poisson Structures
نویسندگان
چکیده
We discuss relations of linear Nambu-Poisson structures to Filippov algebras and define a Filippov algebroid – a generalization of a Lie algebroid. We also prove results describing multiplicative Nambu-Poisson structures on Lie groups. In particular, it is shown that simple Lie groups do not admit multiplicative Nambu-Poisson structures of order > 2.
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