Algebraic and rational differential invariants
These notes start with an introduction to differential invariants. They continue with an algebraic treatment of the theory. The algebraic, differential algebraic and differential geometric tools that are necessary to the development of the theory are explained in detail. We expose the recent results...
- Autores:
-
Blásquez-Sanz, David
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2012
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73813
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73813
http://bdigital.unal.edu.co/38290/
- Palabra clave:
- differential invariants
rational invariants
jet spaces
geometric invariant theory.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | These notes start with an introduction to differential invariants. They continue with an algebraic treatment of the theory. The algebraic, differential algebraic and differential geometric tools that are necessary to the development of the theory are explained in detail. We expose the recent results on the topic of rational and algebraic differential invariants. Finally we give a new algebraic version of the finiteness theorem of Lie–Tresse for the case of finite dimensional algebraic groups. |
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