Poisson brackets on some skew PBW extensions

• Дата: 2020
• Автор: Zambrano, B. A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2020
• Теми: Poisson brackets; noncommutative rings; skew PBW extensions; 16S10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037
• Назва журналу: 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...