Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré Birkhoff-Witt Extensions
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| Format: | Artículo científico |
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Universidad EAFIT
2018
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| author | Armando Reyes |
| author_facet | Armando Reyes |
| contents | Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré Birkhoff-Witt Extensions Armando Reyes Julio Jaramillo Ingeniería Symmetry Birkhoff reversibility skew Poincaré Witt extension 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. 2018 artículo científico 1794-9165 https://www.redalyc.org/articulo.oa?id=83556831002 https://www.redalyc.org/journal/835/83556831002/ https://www.redalyc.org/journal/835/83556831002/html/ https://www.redalyc.org/journal/835/83556831002/83556831002.epub https://www.redalyc.org/journal/835/83556831002/movil 10.17230/ingciencia.14.27.2 en http://www.redalyc.org/revista.oa?id=835 Ingeniería y Ciencia application/pdf Universidad EAFIT Ingeniería y Ciencia (Colombia) Num.27 Vol.14 |
| format | Artículo científico |
| id | redalyc_83556831002 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Universidad EAFIT |
| spellingShingle | Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré Birkhoff-Witt Extensions Armando Reyes Ingeniería Symmetry Birkhoff reversibility skew Poincaré Witt extension Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré Birkhoff-Witt Extensions Armando Reyes Julio Jaramillo Ingeniería Symmetry Birkhoff reversibility skew Poincaré Witt extension 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. 2018 artículo científico 1794-9165 https://www.redalyc.org/articulo.oa?id=83556831002 https://www.redalyc.org/journal/835/83556831002/ https://www.redalyc.org/journal/835/83556831002/html/ https://www.redalyc.org/journal/835/83556831002/83556831002.epub https://www.redalyc.org/journal/835/83556831002/movil 10.17230/ingciencia.14.27.2 en http://www.redalyc.org/revista.oa?id=835 Ingeniería y Ciencia application/pdf Universidad EAFIT Ingeniería y Ciencia (Colombia) Num.27 Vol.14 |
| title | Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré Birkhoff-Witt Extensions |
| topic | Ingeniería Symmetry Birkhoff reversibility skew Poincaré Witt extension |
| url | https://www.redalyc.org/articulo.oa?id=83556831002 https://www.redalyc.org/journal/835/83556831002/ https://www.redalyc.org/journal/835/83556831002/html/ https://www.redalyc.org/journal/835/83556831002/83556831002.epub https://www.redalyc.org/journal/835/83556831002/movil |