Poisson brackets on some skew PBW extensions

2021/07/19 by Luna, Brian Andres Zambrano
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2107.08977

Abstract

In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials O_q, which is called 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 O^r,n_q,δ, which are a generalization of O_q and show some examples of skew PBW extension where we can apply this description.

Related

• Universal property of skew PBW extensions
• PBW deformations of skew polynomial rings and their group extensions
• Automorphisms for skew PBW extensions and skew quantum polynomial rings
• Some homological properties of skew PBW extensions
• Ore and Goldie theorems for skew PBW extensions