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: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2022 |
| País: | Colombia |
| Recursos: | Universidad Tecnológica de Bolívar |
| Repositório: | Repositorio Institucional UTB |
| Idioma: | inglês |
| OAI Identifier: | oai:repositorio.utb.edu.co:20.500.12585/12440 |
| Acesso em linha: | https://hdl.handle.net/20.500.12585/12440 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Restricted Lie algebras, Restricted Simple Lie algebras, Simple restricted Lie algebras, Equivalence of categories LEMB |
| Resumo: | 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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