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Classification of linearly compact simple Nambu-Poisson algebras

Author(s)
Cantarini, Nicoletta; Kac, Victor
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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.
Date issued
2016-05
URI
http://hdl.handle.net/1721.1/115828
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0022-2488
1089-7658

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