Poisson brackets on some skew PBW extensions

B. A. Zambrano

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

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DOI: http://dx.doi.org/10.12958/adm1037

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