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arXiv · 1511.04957

Classification of linearly compact simple Nambu-Poisson algebras

Nicoletta Cantarini·Victor G. Kac
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Abstract

We introduce the notion of universal odd generalized Poisson superalgebra associated to an associative algebra A, by generalizing a construction made in [5]. By making use of this notion we give a complete classification of simple linearly compact (generalized) n-Nambu-Poisson algebras over an algebraically closed field of characteristic zero.

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BibTeXRIS

Nicoletta Cantarini, Victor G. Kac. 2015-11-16. Classification of linearly compact simple Nambu-Poisson algebras. https://doi.org/10.1063/1.4948409

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