Classification of linearly compact simple Nambu-Poisson algebras
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1511.04957.pdf
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Author(s)
Cantarini, Nicoletta
Kac, Victor
Date Issued
May 2016
Journal
Journal of Mathematical Physics
Publisher
American Institute of Physics (AIP)
Citation
Cantarini, Nicoletta and Victor G. Kac. “Classification of Linearly Compact Simple Nambu-Poisson Algebras.” Journal of Mathematical Physics 57, 5 (May 2016): 051701 © 2016 Author(s)
Version
Original manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1063/1.4948409
