Novikov-Poisson algebras

Abstract

We classify Novikov-Poisson algebras whose Novikov algebras are simple with an idempotent element. Moreover, a class of simple Novikov algebras without idempotent elements is constructed through Novikov-Poisson algebras. Certain new simple Lie superalgebras induced by Novikov-Poisson algebras are introduced. © 1997 Academic Press.