Enveloping algebras of double Poisson-Ore extensions
arXiv:1702.00647
Abstract
It is proved that the Poisson enveloping algebra of a double Poisson-Ore extension is an iterated double Ore extension. As an application, properties that are preserved under iterated double Ore extensions are invariants of the Poisson enveloping algebra of a double Poisson-Ore extension.
15 pages