Equivalence of categories of simple Lie algebras in positive characteristic
Fecha
2022-07-18Registro en:
Monsalve, G. B., Guevara, C. R. P., & Vanegas, E. Q. (2023). Equivalence of categories of simple Lie algebras in positive characteristic. Proyecciones (Antofagasta, On line), 42(4), 815-831.
10.22199/issn.0717-6279-5335
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
Autor
Guevara, Carlos Rafael
Quintero Vanegas, Elkin O.
Benítez Monsalve, Germán Alfonso
Resumen
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