Gelfand-kirillov dimension of skew pbw extensions
Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), the aim of this paper is to compute this dimension for these extensions an...
- Autores:
-
Reyes, Armando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2013
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/49337
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/49337
http://bdigital.unal.edu.co/42794/
- Palabra clave:
- Álgebras no conmutativas
anillos filtrado graduados
extensiones PBW
polinomios cuánticos torcidos
dimensión de Gelfand-Kirillov
Non-commutative algebras
Filtered and graded rings
PBW extensions
Skew quantum polynomials
Gelfand Kirillov dimension
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), the aim of this paper is to compute this dimension for these extensions and hence generalize Matczuk's results for several algebras which can not be classified as PBW extensions. |
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