Classification of linearly compact simple Nambu-Poisson algebras

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...

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Bibliographic Details
Main Authors: Cantarini, Nicoletta, Kac, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: American Institute of Physics (AIP) 2018
Online Access:http://hdl.handle.net/1721.1/115828
https://orcid.org/0000-0002-2860-7811