Classification of linearly compact simple Nambu-Poisson algebras
Author(s)Cantarini, Nicoletta; Kac, Victor
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Mathematical Physics
American Institute of Physics (AIP)
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)