English

Enveloping algebras of double Poisson-Ore extensions

Rings and Algebras 2017-02-03 v1

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.

Keywords

Cite

@article{arxiv.1702.00647,
  title  = {Enveloping algebras of double Poisson-Ore extensions},
  author = {Jiafeng Lü and Sei-Qwon Oh and Xingting Wang and Xiaolan Yu},
  journal= {arXiv preprint arXiv:1702.00647},
  year   = {2017}
}

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15 pages