BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an algebraic structure, defined by variables and...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/67336 |
| Acceso en línea: | https://repositorio.unal.edu.co/handle/unal/67336 http://bdigital.unal.edu.co/68365/ |
| Access Level: | acceso abierto |
| Palabra clave: | 53 Física / Physics 5 Ciencias naturales y matemáticas / Science Quantum algebras skew Poincaré-Birkhoff-Witt Álgebras cuánticas extensiones torcidas de Poincaré-Birkhoff-Witt lema del diamante. |
| Sumario: | Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms which allow us to decide whether an algebraic structure, defined by variables and relations between them, can be expressed as a skew PBW extension, so that the base of the structure is determined. Finally, we illustrate our treatment with examples concerning quantum physics. |
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