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Algebra and Discrete Mathematics, 2020, Volume 29, Issue 2, Pages 277–302
DOI: https://doi.org/10.12958/adm1037
(Mi adm759)
 

This article is cited in 6 scientific papers (total in 6 papers)

RESEARCH ARTICLE

Poisson brackets on some skew PBW extensions

B. A. Zambrano

Seminario de Álgebra Constructiva - $SAC^2$ Departamento de Matemáticas, Universidad Nacional de Colombia, Sede Bogotá
Full-text PDF (442 kB) Citations (6)
References:
Abstract: 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.
Keywords: Poisson brackets, noncommutative rings, skew PBW extensions.
Received: 16.02.2018
Bibliographic databases:
Document Type: Article
MSC: 16S10
Language: English
Citation: B. A. Zambrano, “Poisson brackets on some skew PBW extensions”, Algebra Discrete Math., 29:2 (2020), 277–302
Citation in format AMSBIB
\Bibitem{Zam20}
\by B.~A.~Zambrano
\paper Poisson brackets on some skew PBW extensions
\jour Algebra Discrete Math.
\yr 2020
\vol 29
\issue 2
\pages 277--302
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\crossref{https://doi.org/10.12958/adm1037}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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