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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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/188522 |
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| Zitieren: | 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. |
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irk-123456789-1885222023-03-04T01:27:09Z Poisson brackets on some skew PBW extensions Zambrano, B.A. 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. 2020 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188522 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Zambrano, B.A. |
| spellingShingle |
Zambrano, B.A. Poisson brackets on some skew PBW extensions Algebra and Discrete Mathematics |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188522 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT zambranoba poissonbracketsonsomeskewpbwextensions |
| first_indexed |
2025-07-16T10:37:02Z |
| last_indexed |
2025-07-16T10:37:02Z |
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1837799542817292288 |