Universal Central Extensions Of Novikov-Poisson Algebras

The paper mainly studies the universal central extension of Novikov-PoissonAlgebras and its lifting of automorphisms and derivations. At first, we give someelementary conception and properties of Novikov-Poisson Algebras, we elaborate on thegeneral conclusions about central extension and universal central extension in thechapter three. We construct a Novikov-Poisson Algebra uce(A) from an arbitraryNovikov-Poisson Algebra A , and then a Novikov-Poisson Algebra admits a universalcovering if and only if it is perfect. In the fourth chapter, we explain that the functionuce is a covariant functor in the category of Novikov-Poisson Algebras at first. Then wehave two important theorems about the lifting of the group of automorphisms and thelifting of derivations of A are given by the function of uce , then to prove them.