Poisson brackets on some skew PBW extensions
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...
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| Date: | 2020 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2020
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | 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 extensions of a ring \(A\) by the extensions \(\mathcal{O}_{q,\delta}^{r,n}\), which are generalization of \(\mathcal{O}_q\), and show some examples of skew PBW extension where we can apply this description. |
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