Poisson brackets on some skew PBW extensions

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Author: Zambrano, B.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188522
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Poisson brackets on some skew PBW extensions / B.A. Zambrano // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 277–302. — Бібліогр.: 8 назв. — англ.

In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq, which is called the general algebra of quantum polynomials. The main of this paper is to present a generalization of [1] through a description of Poisson brackets on some skew PBW extensions of a ri...