Serviços Personalizados
Journal
Artigo
Indicadores
- Citado por SciELO
- Acessos
Links relacionados
- Citado por Google
- Similares em SciELO
- Similares em Google
Compartilhar
Ingeniería y Ciencia
versão impressa ISSN 1794-9165
Resumo
REYES, Armando e 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.
Palavras-chave : Symmetry; reversibility; quantum algebra; skew Poincaré-Birkhoff-Witt extension.