April 2021 Universal enveloping algebras of generalized Poisson–Ore extensions
Yuan Shen, Xia Zheng
Rocky Mountain J. Math. 51(2): 747-760 (April 2021). DOI: 10.1216/rmj.2021.51.747

Abstract

The main goal of this paper is to study the Poisson universal enveloping algebra of a generalized Poisson–Ore extension. We prove such a Poisson universal enveloping algebra is a twisted tensor product.

Citation

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Yuan Shen. Xia Zheng. "Universal enveloping algebras of generalized Poisson–Ore extensions." Rocky Mountain J. Math. 51 (2) 747 - 760, April 2021. https://doi.org/10.1216/rmj.2021.51.747

Information

Received: 16 July 2020; Revised: 20 October 2020; Accepted: 23 October 2020; Published: April 2021
First available in Project Euclid: 25 June 2021

Digital Object Identifier: 10.1216/rmj.2021.51.747

Subjects:
Primary: 16S10 , 17B63

Keywords: generalized Poisson–Ore extension , Poisson universal enveloping algebra , twisted tensor product

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.51 • No. 2 • April 2021
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