Resumen de Equivalence of categories of simple Lie algebras in positive characteristic

Germán Benitez Monsalve, Carlos R. Payares Guevara, Elkin O. Quintero

• 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.