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.
Cantarini, N., Kac, V. (2016). Classification of linearly compact simple Nambu-Poisson algebras. JOURNAL OF MATHEMATICAL PHYSICS, 57, 1-18 [10.1063/1.4948409].
Classification of linearly compact simple Nambu-Poisson algebras
CANTARINI, NICOLETTA;
2016
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.File in questo prodotto:
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