Classification of linearly compact simple Nambu-Poisson algebras

@inproceedings{Cantarini2016ClassificationOL,
  title={Classification of linearly compact simple Nambu-Poisson algebras},
  author={Nicoletta Cantarini and Victor G. Kac},
  year={2016}
}
  • Nicoletta Cantarini, Victor G. Kac
  • Published 2016
  • Mathematics
  • We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra A, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. 8, 1–145 (2013)]. 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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