Hopf Galois Extensions and Non-commutative Rings
In this document we review the notion of Hopf Galois extensions, addressing remarkable examples, some properties and recent advances in such theory. Similarly, we present some families of non-commutative rings and algebras which arise in several applications and contexts. With particular examples, a...
- Autores:
-
Calderón Mateus, Fabio Alejandro
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/77051
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/77051
http://bdigital.unal.edu.co/74369/
- Palabra clave:
- Hopf Galois extension
Quantum torsor
Hopf Galois system
Ore extension
Almost symmetric algebra
Extensión Hopf Galois
Torsor cuántico
Sistema Hopf Galois
Extensión de Ore
Algebra casi-simétrica
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | In this document we review the notion of Hopf Galois extensions, addressing remarkable examples, some properties and recent advances in such theory. Similarly, we present some families of non-commutative rings and algebras which arise in several applications and contexts. With particular examples, and using recent results on Hopf Galois theory, we study some interactions between such extensions and the mentioned families. |
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