Equivalence of categories of simple Lie algebras in positive characteristic

• Benitez Monsalve, Germán ^[1] ; Payares Guevara, Carlos Rafael ^[2] ; Quintero Vanegas, Elkin ^[1]
  1. [1] Universidade Federal do Amazonas

     Universidade Federal do Amazonas

     Brasil

     
  2. [2] Universidad Tecnológica de Bolívar

     Universidad Tecnológica de Bolívar

     Colombia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 815-831
• Idioma: inglés
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• 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.