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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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2020
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| Online Zugang: | 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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Algebra and Discrete Mathematics| _version_ | 1856543127952687104 |
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| author | Zambrano, B. A. |
| author_facet | Zambrano, B. A. |
| author_sort | Zambrano, B. A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-07-08T07:13:20Z |
| 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. |
| first_indexed | 2025-12-02T15:33:52Z |
| format | Article |
| id | admjournalluguniveduua-article-1037 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:33:52Z |
| publishDate | 2020 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | Poisson brackets noncommutative rings skew PBW extensions 16S10 Zambrano, B. A. Poisson brackets on some skew PBW extensions |
| title | 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_short | Poisson brackets on some skew PBW extensions |
| title_sort | poisson brackets on some skew pbw extensions |
| topic | Poisson brackets noncommutative rings skew PBW extensions 16S10 |
| topic_facet | Poisson brackets noncommutative rings skew PBW extensions 16S10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1037 |
| work_keys_str_mv | AT zambranoba poissonbracketsonsomeskewpbwextensions |