Total Ring of fractions of skew PBW extensions
We study the Gelfand Kirillov conjecture for some algebras and rings, we use similar tools for studying the ring of fractions of skew PBW extensions, establishing isomorphisms between algebras and rings. Particular cases are studied as is the case of Lie algebras and Abstract. Weyl algebras to which...
- Autores:
-
Ojeda Otálora, Ingrid
- Tipo de recurso:
- Fecha de publicación:
- 2014
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/51877
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/51877
http://bdigital.unal.edu.co/46103/
- Palabra clave:
- 51 Matemáticas / Mathematics
Skew PBW extensions
Ring of fractions
Gelfand kirillov conjecture
Gelfand kirillov transcendence degree
Gelfand kirillov dimension
Extensiones PBW torcidas
Anillo de fracciones
Conjetura de Gelfand kirillov
Dimensión Gelfand kirilliov
Grado de trascendencia de Gelfand kirillov
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | We study the Gelfand Kirillov conjecture for some algebras and rings, we use similar tools for studying the ring of fractions of skew PBW extensions, establishing isomorphisms between algebras and rings. Particular cases are studied as is the case of Lie algebras and Abstract. Weyl algebras to which we devote the entire first chapter of preliminaries, then we make a collection about the conjecture for the classical and quantum case in the second chapter. To finally conclude with skew PBW extensions, which cover many algebras under study. |
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