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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| Дата: | 2020 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2020
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10372020-07-08T07:13:20Z Poisson brackets on some skew PBW extensions Zambrano, B. A. Poisson brackets, noncommutative rings, skew PBW extensions 16S10 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. Lugansk National Taras Shevchenko University 2020-07-08 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037 10.12958/adm1037 Algebra and Discrete Mathematics; Vol 29, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1037/301 Copyright (c) 2020 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Poisson brackets noncommutative rings skew PBW extensions 16S10 |
| spellingShingle |
Poisson brackets noncommutative rings skew PBW extensions 16S10 Zambrano, B. A. Poisson brackets on some skew PBW extensions |
| topic_facet |
Poisson brackets noncommutative rings skew PBW extensions 16S10 |
| format |
Article |
| author |
Zambrano, B. A. |
| author_facet |
Zambrano, B. A. |
| author_sort |
Zambrano, B. A. |
| title |
Poisson brackets on some skew PBW extensions |
| title_short |
Poisson brackets on some skew PBW extensions |
| title_full |
Poisson brackets on some skew PBW extensions |
| title_fullStr |
Poisson brackets on some skew PBW extensions |
| title_full_unstemmed |
Poisson brackets on some skew PBW extensions |
| title_sort |
poisson brackets on some skew pbw extensions |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2020 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037 |
| work_keys_str_mv |
AT zambranoba poissonbracketsonsomeskewpbwextensions |
| first_indexed |
2024-04-12T06:25:07Z |
| last_indexed |
2024-04-12T06:25:07Z |
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1796109226336059392 |