Equivalence of categories of simple Lie algebras in positive characteristic
In this paper we first study some properties of the finite-dimensional simple restricted Lie algebras. In the literature is found a one-to-one correspondence between them and finite-dimensional simple Lie algebras over a field of positive characteristic. Motivated by this fact, we give a one-to-one...
- Autores:
-
Guevara, Carlos Rafael
Quintero Vanegas, Elkin O.
Benítez Monsalve, Germán Alfonso
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/12440
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/12440
- Palabra clave:
- Restricted Lie algebras,
Restricted Simple Lie algebras,
Simple restricted Lie algebras,
Equivalence of categories
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/publicdomain/zero/1.0/
| Summary: | In this paper we first study some properties of the finite-dimensional simple restricted Lie algebras. In the literature is found a one-to-one correspondence between them and finite-dimensional simple Lie algebras over a field of positive characteristic. Motivated by this fact, we give a one-to-one correspondence between their morphisms, which allow us to conclude that such categories are equivalent |
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