Poisson brackets on some skew PBW extensions

• Date: 2020
• Main Author: Zambrano, B. A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: Poisson brackets; noncommutative rings; skew PBW extensions; 16S10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037
• Journal Title: Algebra and Discrete Mathematics

In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials \(\mathcal{O}_q\), 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 ext...