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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Published in:Algebra and Discrete Mathematics
Date:2020
Main Author: Zambrano, B.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188522
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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.
first_indexed 2025-12-07T17:26:06Z
format Article
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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