Poisson brackets on some skew PBW extensions
In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq, 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 ri...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188522 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Poisson brackets on some skew PBW extensions / B.A. Zambrano // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 277–302. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862710756790763520 |
|---|---|
| author | Zambrano, B.A. |
| author_facet | Zambrano, B.A. |
| citation_txt | Poisson brackets on some skew PBW extensions / B.A. Zambrano // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 277–302. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq, 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 Oʳ,ⁿq,δ , which are generalization of Oq, and show some examples of skew PBW extension where we can apply this description.
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| first_indexed | 2025-12-07T17:26:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188522 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:26:06Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Zambrano, B.A. 2023-03-03T20:01:14Z 2023-03-03T20:01:14Z 2020 Poisson brackets on some skew PBW extensions / B.A. Zambrano // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 277–302. — Бібліогр.: 8 назв. — англ. 1726-3255 DOI:10.12958/adm1037 2010 MSC: 16S10. https://nasplib.isofts.kiev.ua/handle/123456789/188522 In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq, 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 Oʳ,ⁿq,δ , which are generalization of Oq, and show some examples of skew PBW extension where we can apply this description. The author would like to thank Jose Oswaldo Lezama Serrano for many helpful suggestions which were so important to develop the article. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Poisson brackets on some skew PBW extensions Article published earlier |
| spellingShingle | Poisson brackets on some skew PBW extensions Zambrano, B.A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188522 |
| work_keys_str_mv | AT zambranoba poissonbracketsonsomeskewpbwextensions |