Equivalence of categories of simple Lie algebras in positive characteristic
DOI:
https://doi.org/10.22199/issn.0717-6279-5335Keywords:
restricted Lie algebras, restricted Simple Lie algebras, Simple restricted Lie algebras, Equivalence of categoriesAbstract
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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