Abstract

REYES, Armando  and  JARAMILLO, Julio. Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré Birkhoff-Witt Extensions. ing.cienc. [online]. 2018, vol.14, n.27, pp.29-52. ISSN 1794-9165.  https://doi.org/10.17230/ingciencia.14.27.2.

Our aim in this paper is to investigate symmetry and reversibility properties for quantum algebras and skew PBW extensions. Under certain conditions we prove that these properties transfer from a ring of coefficients to a quantum algebra or skew PBW extension over this ring. In this way we generalize several results established in the literature and consider algebras which have not been studied before. We illustrate our results with remarkable examples of theoretical physics.

Keywords : Symmetry; reversibility; quantum algebra; skew Poincaré-Birkhoff-Witt extension.

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