Classification of linearly compact simple NambuPoisson algebras
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, 1145 (2013)]. By making use of this notion we give a complete classification of simple linearly compact (generalized) nNambuPoisson algebras over an algebraically closed field of characteristic zero.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 May 2016
 DOI:
 10.1063/1.4948409
 arXiv:
 arXiv:1511.04957
 Bibcode:
 2016JMP....57e1701C
 Keywords:

 Mathematics  Quantum Algebra;
 17B63
 EPrint:
 22 pages