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arXiv · 1702.00647

Enveloping algebras of double Poisson-Ore extensions

Jiafeng Lü·Sei-Qwon Oh·Xingting Wang·Xiaolan Yu
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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.

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Jiafeng Lü, Sei-Qwon Oh, Xingting Wang, Xiaolan Yu. 2017-02-02. Enveloping algebras of double Poisson-Ore extensions. https://arxiv.org/abs/1702.00647

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