Morphisms, direct sums and tensor products of Kähler-Poisson algebras

Abstract

In this paper we introduce the concept of morphisms of Kähler-Poisson algebras and study their algebraic properties. In particular, we find conditions, in terms of the metric, for two algebras to be isomorphic, and we introduce direct sums and tensor products of Kähler-Poisson algebras. We provide detailed examples to illustrate the novel concepts.