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• W1516714362 abstract "This paper investigates higher order generalizations of well known results for Lie algebroids and bialgebroids. It is proved that $n$-Lie algebroid structures correspond to $n$-ary generalization of Gerstenhaber algebras and are implied by $n$-ary generalization of linear Poisson structures on the dual bundle. A Nambu-Poisson manifold (of order $n>2$) gives rise to a special bialgebroid structure which is referred to as a weak Lie-Filippov bialgebroid (of order $n$). It is further demonstrated that such bialgebroids canonically induce a Nambu-Poisson structure on the base manifold. Finally, the tangent space of a Nambu Lie group gives an example of a weak Lie-Filippov bialgebroid over a point." @default.
• W1516714362 created "2016-06-24" @default.
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• W1516714362 date "2015-02-19" @default.
• W1516714362 modified "2023-09-27" @default.
• W1516714362 title "Nambu Structures And Associated Bialgebroids" @default.
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• W1516714362 hasPublicationYear "2015" @default.
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