Symmetry and Reversibility Properties for Quantum Algebras and Skew Poincaré-Birkhoff-Witt Extensions
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 generaliz...
- Autores:
-
Reyes, Armando
Jaramillo, Julio
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/13190
- Acceso en línea:
- http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5105
http://hdl.handle.net/10784/13190
- Palabra clave:
- Symmetry
Reversibility
Quantum algebra
Skew Poincaré-Birkhoff-Witt extension
Simetría
Reversibilidad
Álgebra cuántica
Extensión torcida de Poincaré-Birkhoff-Witt
- Rights
- License
- Copyright (c) 2018 Armando Reyes, Dr., Julio Jaramillo
| Summary: | 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. |
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